Download or read book Actions and Invariants of Algebraic Groups written by Walter Ricardo Ferrer Santos and published by CRC Press. This book was released on 2017-09-19 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
Download or read book Lie Groups and Geometric Aspects of Isometric Actions written by Marcos M. Alexandrino and published by Springer. This book was released on 2015-05-22 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students and young researchers in geometry and can be used for a one-semester course or independent study.
Download or read book Finite Group Theory written by I. Martin Isaacs and published by American Mathematical Society. This book was released on 2023-01-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem. Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the “principal ideal theorem” of transfer theory and many smaller results that are not very well known. Proofs often contain original ideas, and they are given in complete detail. In many cases they are simpler than can be found elsewhere. The book is largely based on the author's lectures, and consequently, the style is friendly and somewhat informal. Finally, the book includes a large collection of problems at disparate levels of difficulty. These should enable students to practice group theory and not just read about it. Martin Isaacs is professor of mathematics at the University of Wisconsin, Madison. Over the years, he has received many teaching awards and is well known for his inspiring teaching and lecturing. He received the University of Wisconsin Distinguished Teaching Award in 1985, the Benjamin Smith Reynolds Teaching Award in 1989, and the Wisconsin Section MAA Teaching Award in 1993, to name only a few. He was also honored by being the selected MAA Pólya Lecturer in 2003–2005.
Download or read book Applied Finite Group Actions written by Adalbert Kerber and published by Springer Science & Business Media. This book was released on 1999-08-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the top experts in the fields of combinatorics and representation theory, this book distinguishes itself from the existing literature by its applications-oriented point of view. The second edition is extended, placing more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.
Download or read book The Power of Groups in Youth Sport written by Mark W. Bruner and published by Academic Press. This book was released on 2020-02-15 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focused on understanding the key underlying group processes that contribute to youth sport experiences, The Power of Groups in Youth Sport provides an innovative and expansive overview of the research in group dynamics within youth sports. The first section of the book examines topics relating to forming and structuring groups, including team selection, athlete socialization, normative expectations, roles, coach and athlete leadership, social identity, and more. The second section reviews concepts associated with group functioning and management, such as cohesion, subgroups, motivational climate, teamwork, and team building. This book concludes with a series of chapters focused on specific developmental considerations in youth sports that are often overlooked in group dynamics research including parental involvement, bullying and hazing, mental health, ,and disability and accessibility. - Synthesizes the research of group dynamics within the context of youth sport - Highlights how groups form and function - Discusses the role of parents and peers on youth sport experiences and development - Suggests ways to advance the field of group dynamics in youth sports
Download or read book Lie Groups written by Claudio Procesi and published by Springer Science & Business Media. This book was released on 2006-10-12 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.
Download or read book The Logic of Collective Action written by and published by . This book was released on 2003 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Download or read book Permutation Groups written by John D. Dixon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
Download or read book A Toolkit for Hispanic Latino Community Groups written by and published by . This book was released on 1999 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential Geometry and Lie Groups written by Jean Gallier and published by Springer Nature. This book was released on 2020-08-14 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing. Working from basic undergraduate prerequisites, the authors develop manifold theory and Lie groups from scratch; fundamental topics in Riemannian geometry follow, culminating in the theory that underpins manifold optimization techniques. Students and professionals working in computer vision, robotics, and machine learning will appreciate this pathway into the mathematical concepts behind many modern applications. Starting with the matrix exponential, the text begins with an introduction to Lie groups and group actions. Manifolds, tangent spaces, and cotangent spaces follow; a chapter on the construction of manifolds from gluing data is particularly relevant to the reconstruction of surfaces from 3D meshes. Vector fields and basic point-set topology bridge into the second part of the book, which focuses on Riemannian geometry. Chapters on Riemannian manifolds encompass Riemannian metrics, geodesics, and curvature. Topics that follow include submersions, curvature on Lie groups, and the Log-Euclidean framework. The final chapter highlights naturally reductive homogeneous manifolds and symmetric spaces, revealing the machinery needed to generalize important optimization techniques to Riemannian manifolds. Exercises are included throughout, along with optional sections that delve into more theoretical topics. Differential Geometry and Lie Groups: A Computational Perspective offers a uniquely accessible perspective on differential geometry for those interested in the theory behind modern computing applications. Equally suited to classroom use or independent study, the text will appeal to students and professionals alike; only a background in calculus and linear algebra is assumed. Readers looking to continue on to more advanced topics will appreciate the authors’ companion volume Differential Geometry and Lie Groups: A Second Course.
Download or read book Inverse Semigroups The Theory Of Partial Symmetries written by Mark V Lawson and published by World Scientific. This book was released on 1998-11-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings.
Download or read book Geometric Group Theory written by Cornelia Druţu and published by American Mathematical Soc.. This book was released on 2018-03-28 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces. This applies to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups of matrices with integer coefficients, etc. The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's Property (T) and the Haagerup property, as well as their characterizations in terms of group actions on median spaces and spaces with walls. The book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative, Stallings's theorem on ends of groups, Dunwoody's accessibility theorem, the Mostow Rigidity Theorem, and quasiisometric rigidity theorems of Tukia and Schwartz. This is the first book in which geometric group theory is presented in a form accessible to advanced graduate students and young research mathematicians. It fills a big gap in the literature and will be used by researchers in geometric group theory and its applications.
Download or read book Deviant Behavior written by Charles H. McCaghy and published by Routledge. This book was released on 2016-01-08 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the framework of interest group conflict, this text combines a balanced, comprehensive overview of the field of deviance with first-hand expertise in the workings of the criminal justice system. Deviant Behavior, Seventh Edition, surveys a wide range of topics, from explanations regarding crime and criminal behavior, measurement of crime, violent crime and organizational deviance, to sexual behavior, mental health, and substance abuse. This new edition continues its tradition of applying time-tested, sociological theory to developing social concepts and emerging issues.
Download or read book Social Action in Group Work written by Abe Vinik and published by Routledge. This book was released on 2012-10-12 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most effective ways of dealing with social problems is getting rid of the cause of the problem, not just finding a remedy for the result. Social Action in Group Work provides a useful overview of the history, philosophy, theory, and practice of social group work and action in the promotion of societal change. It shows practitioners how to use their skills effectively to achieve social change. This helpful book incorporates ideas developed in social movements, identifies their contributions to social group work practice, and illustrates effective practice in case experience with specific examples. It provides a much-needed understanding of the need for and process of social action, along with new ideas for theory building, teaching, and practice in group work. Numerous case examples from a variety of different settings become models that will be extremely useful for social work students, educators, professionals, and those who work directly with groups.This invigorating book is divided into three sections, each with a unique focus, and tied together by overlapping concepts, theories, and models. The first section, Ideas of Social Action, examines the history of social action in group work and proposes an integrated global framework for social work organization, education and practice. Advocacy and Empowerment, the middle section, is replete with case examples. The third section, Principles and Practice, explores the application of social group work in a variety of situations, including inter-ethnic conflict and a group of homeless men and women. Together, the sections make a strong stand for a more sensitive, empowerment oriented practice and for more advocacy by the worker and group. Everyone involved or interested in the process of social change through social action with groups will find Social Action in Group Work a wealth of practical information.
Download or read book The Chemistry of Enzyme Actions written by Kaufman George Falk and published by . This book was released on 1921 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theories of Small Groups written by Marshall Scott Poole and published by SAGE Publications. This book was released on 2004-10-28 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories of Small Groups: Interdisciplinary Perspectives brings together the threads that unify the field of group research. The book is designed to define and describe theoretical perspectives on groups and to highlight select research findings within those perspectives. In this text, editors Marshall Scott Poole and Andrea B. Hollingshead capitalize on the theoretical advances made over the last fifty years by integrating models and theories of small groups into a set of nine general theoretical perspectives. Theories of Small Groups is the first book to assess, synthesize, integrate, and evaluate the body of theory and research on small groups across disciplinary boundaries.
