Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Download or read book Representation written by Stuart Hall and published by SAGE. This book was released on 1997-04-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This broad-ranging text offers a comprehensive outline of how visual images, language and discourse work as `systems of representation'. Individual chapters explore: representation as a signifying practice in a rich diversity of social contexts and institutional sites; the use of photography in the construction of national identity and culture; other cultures in ethnographic museums; fantasies of the racialized `Other' in popular media, film and image; the construction of masculine identities in discourses of consumer culture and advertising; and the gendering of narratives in television soap operas.
Download or read book Resemblance and Representation written by Ben Blumson and published by Open Book Publishers. This book was released on 2014-09-21 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: It’s a platitude – which only a philosopher would dream of denying – that whereas words are connected to what they represent merely by arbitrary conventions, pictures are connected to what they represent by resemblance. The most important difference between my portrait and my name, for example, is that whereas my portrait and I are connected by my portrait’s resemblance to me, my name and I are connected merely by an arbitrary convention. The first aim of this book is to defend this platitude from the apparently compelling objections raised against it, by analysing depiction in a way which reveals how it is mediated by resemblance. It’s natural to contrast the platitude that depiction is mediated by resemblance, which emphasises the differences between depictive and descriptive representation, with an extremely close analogy between depiction and description, which emphasises the similarities between depictive and descriptive representation. Whereas the platitude emphasises that the connection between my portrait and me is natural in a way the connection between my name and me is not, the analogy emphasises the contingency of the connection between my portrait and me. Nevertheless, the second aim of this book is to defend an extremely close analogy between depiction and description. The strategy of the book is to argue that the apparently compelling objections raised against the platitude that depiction is mediated by resemblance are manifestations of more general problems, which are familiar from the philosophy of language. These problems, it argues, can be resolved by answers analogous to their counterparts in the philosophy of language, without rejecting the platitude. So the combination of the platitude that depiction is mediated by resemblance with a close analogy between depiction and description turns out to be a compelling theory of depiction, which combines the virtues of common sense with the insights of its detractors.
Download or read book Representation Theory written by William Fulton and published by Springer Science & Business Media. This book was released on 1991 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.
Download or read book The Concept of Representation written by Hanna F. Pitkin and published by Univ of California Press. This book was released on 1967 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises out of Hannah Pitkin's doctoral dissertation and is considered by political scientists to be the gold standard in terms of a philosophical treatment of the subject. Pitkin covers the historical evolution of thinking about representation from the Greeks through the founding of the American republic highlighting diverse thinkers and politicians like Edmund Burke, Jeremy Bentham, and James Madison as well as more contemporary scholars like Robert Dahl and Charles Lindblom.
Download or read book The Chain of Representation written by Brian F. Crisp and published by Cambridge University Press. This book was released on 2020-03-19 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comparative analysis of why democratic institutions often produce dissonance between citizens' preferences and public policy in separation-of-powers regimes.
Download or read book Representation and Citizenship written by Richard Marback and published by Wayne State University Press. This book was released on 2016-10-03 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience for this book includes, but is not limited to, students and scholars in citizenship studies, history, law, political science, and social science, especially those interested in issues of patriotism and multiculturalism.
Download or read book Lexical Representation and Process written by William Marslen-Wilson and published by MIT Press. This book was released on 1989 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 18 contributions in Lexical Representation and Process provide a coherent and well-documented frame of reference for a field of study that is becoming central to both linguistics and psycholinguistics.
Download or read book A Tour of Representation Theory written by Martin Lorenz and published by American Mathematical Soc.. This book was released on 2018 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an introduction to four different flavours of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable the reader to pursue research in representation theory.
Download or read book Representation and Behavior written by Fred Keijzer and published by MIT Press. This book was released on 2001-02-12 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keijzer provides a reconstruction of cognitive science's implicit representational explanation of behavior, which he calls Agent Theory (AT), the use of mind as a subpersonal mechanism of behavior. Representation is a fundamental concept within cognitive science. Most often, representations are interpreted as mental representations, theoretical entities that are the bearers of meaning and the source of intentionality. This approach views representation as the internal reflection of external circumstances—that is, as the end station of sensory processes that translate the environmental state of affairs into a set of mental representations. Fred Keijzer stresses, however, that representations are also the starting point for a set of processes that lead back to the external environment. They are used as theoretical components within an explanation of a person's outwardly visible behavior. In this book Keijzer investigates the usefulness of representation for behavioral explanation, irrespective of mental issues. Viewing representation solely in terms of its contribution to explaining behavior allows him to build a serious case for a nonrepresentational approach and to evaluate representation's role in cognitive science. Keijzer provides a reconstruction of cognitive science's implicit representational explanation of behavior, which he calls Agent Theory (AT). AT is the use of mind as a subpersonal mechanism of behavior. He proposes an alternative to AT called Behavioral Systems Theory (BST), which explains behavior as the result of interactions between an organism and its environment. Keijzer compares BST to related work in the biology of cognition, in the building of animal-like robots, and in dynamical systems theory. Most important, he extends BST to the difficult issue of anticipatory behavior through an analogy between behavior and morphogenesis, the process by which a multicellular body develops.
Download or read book Art and Representation written by John Willats and published by Princeton University Press. This book was released on 1997 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Art and Representation, John Willats presents a radically new theory of pictures. To do this, he has developed a precise vocabulary for describing the representational systems in pictures: the ways in which artists, engineers, photographers, mapmakers, and children represent objects. His approach is derived from recent research in visual perception and artificial intelligence, and Willats begins by clarifying the key distinction between the marks in a picture and the features of the scene that these marks represent. The methods he uses are thus closer to those of a modern structural linguist or psycholinguist than to those of an art historian. Using over 150 illustrations, Willats analyzes the representational systems in pictures by artists from a wide variety of periods and cultures. He then relates these systems to the mental processes of picture production, and, displaying an impressive grasp of more than one scholarly discipline, shows how the Greek vase painters, Chinese painters, Giotto, icon painters, Picasso, Paul Klee, and David Hockney have put these systems to work. But this book is not only about what systems artists use but also about why artists from different periods and cultures have used such different systems, and why drawings by young children look so different from those by adults. Willats argues that the representational systems can serve many different functions beyond that of merely providing a convincing illusion. These include the use of anomalous pictorial devices such as inverted perspective, which may be used for expressive reasons or to distance the viewer from the depicted scene by drawing attention to the picture as a painted surface. Willats concludes that art historical changes, and the developmental changes in children's drawings, are not merely arbitrary, nor are they driven by evolutionary forces. Rather, they are determined by the different functions that the representational systems in pictures can serve. Like readers of Ernst Gombrich's famous Art and Illusion (still available from Princeton University Press), on which Art and Representation makes important theoretical advances, or Rudolf Arnheim's Art and Visual Perception, Willats's readers will find that they will never again return to their old ways of looking at pictures.
Download or read book Political Representation written by F. R. Ankersmit and published by Stanford University Press. This book was released on 2002 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary political philosophy disregards history as irrelevant to the nature of politics and to what constitutes a political problem. The author argues that this view reduces politics and political philosophy to a vapid academic game that is insensitive to both the essence and practice of politics. He proposes that an indissoluble link between history and politics lies in the notion of representation.
Download or read book Understanding Representation written by Jen Webb and published by SAGE. This book was released on 2008-12-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is an extraordinarily lucid book. I am not sure that there is anyone who can do this sort of thing better than Jen Webb. It is a gift to students; extremely accessible yet complex and sophisticated in its treatment of theories and concepts of representation." - Jim McGuigan, Loughborough University Understanding Representation offers a contemporary, coherent and genuinely interdisciplinary introduction to the concept of representation. Drawing together the full range of ideas, practices, techniques and disciplines associated with the subject, this book locates them in a historical context, presents them in a readable fashion, and shows their relevance to everyday life in an engaging and accessible manner. Readers will be shown how to develop a sophisticated attitude to meaning, and understand the relationship to truth and identity that is brought into focus by communicative practices. With chapters on linguistic and political representation, art and media, and philosophical and cognitive approaches, this book: Guides readers through complex theoretical terrain with a highly readable and refreshing writing style. Explains the techniques and perspectives offered by semiotics, discourse analysis, poetics, politics, narratology, visual culture, cognitive theory, performance theory and theories of embodied subjectivity. Covers the new ideas and practices that have emerged since the work of Barthes, Eco and Foucault - especially communication and meaning-making in the digital environment, and the new paradigms of understanding associated with cognitive theories of identity and language. Teaches readers how to interpret and interrogate the world of signs in which they live. Understanding Representation provides students across the social sciences and humanities with an invaluable introduction to what is meant by ′representation′.
Download or read book Graph Representation Learning written by William L. William L. Hamilton and published by Springer Nature. This book was released on 2022-06-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.
Download or read book Travel and Representation written by Garth Lean and published by Berghahn Books. This book was released on 2017-07-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Travel and Representation is a timely volume of essays that explores and re-examines the various convergences between literature, art, photography, television, cinema and travel. The essays do so in a way that appreciates the entanglement of representations and travel at a juncture in theoretical work that recognizes the limits of representation, things that lie outside of representation and the continuing power of representation. The emphasis is on the myriad ways travelers/scholars employ representation in their writing/analyses as they re-think the intersections between travelers, fields of representation, imagination, emotions and corporeal experiences in the past, the present and the future.
Download or read book Representation Reconsidered written by William M. Ramsey and published by Cambridge University Press. This book was released on 2007-06-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Download or read book Political Representation written by Ian Shapiro and published by Cambridge University Press. This book was released on 2009 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Draws from political science, history, political theory, economics, and anthropology to answer the most important questions about political representation.
