Download or read book Representations of Rings Over Skew Fields written by A. H. Schofield and published by . This book was released on 1985 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of representations of rings over skew fields.
Download or read book Representations of Rings Over Skew Fields written by A. H. Schofield and published by Cambridge University Press. This book was released on 1985-04-18 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of representations of rings over skew fields.
Download or read book Representations of Rings Over Skew Fields written by Aidan Harry Schofield and published by . This book was released on 2014-05-14 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of representations of rings over skew fields.
Download or read book Representation Theory Group Rings and Coding Theory written by M. Isaacs and published by American Mathematical Soc.. This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the memory of the Soviet mathematician S D Berman (1922-1987), this work covers topics including Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions.
Download or read book Skew Fields written by Paul Moritz Cohn and published by Cambridge University Press. This book was released on 1995-07-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts and most accounts have hitherto been confined to division algebras, that is skew fields finite-dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation and a precise description of the embedding problem are followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorems of G. M. Bergman are proved here as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable. The treatment of equations over skew fields has been simplified and extended by the use of matrix methods, and the beginnings of non-commutative algebraic geometry are presented, with a precise account of the problems that need to be overcome for a satisfactory theory. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in concise form, and notes and comments at the ends of chapters provide historical background.
Download or read book Triangulated Categories in the Representation Theory of Finite Dimensional Algebras written by Dieter Happel and published by Cambridge University Press. This book was released on 1988 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras.
Download or read book Representations of Algebras written by P. Webb and published by Cambridge University Press. This book was released on 1986-01-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest developments in representation theory with emphasis on the representation type of finite-dimensional algebras.
Download or read book Representations of Solvable Groups written by Olaf Manz and published by Cambridge University Press. This book was released on 1993-09-16 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer.
Download or read book Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees written by Alessandro Figá-Talamanca and published by Cambridge University Press. This book was released on 1991-06-28 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.
Download or read book Representation Theory II Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa Canada August 16 25 1984 written by Vlastimil Dlab and published by Springer. This book was released on 2006-11-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in Varieties of Group Representations written by Samuel M. Vovsi and published by Cambridge University Press. This book was released on 1991-11-28 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory of group representations, a young and promising area of modern algebra. It provides a detailed exposition of several central topics in the field, leading to the most current advances and developments. Much of the included material has never been available in book form before. It is intended for a broad audience of researchers and graduate students, working in abstract algebra and its many applications.
Download or read book Arithmetic of Diagonal Hypersurfaces Over Finite Fields written by Fernando Q. Gouvêa and published by Cambridge University Press. This book was released on 1995-05-11 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.
Download or read book Maximal Cohen Macaulay Modules Over Cohen Macaulay Rings written by Yūji Yoshino and published by Cambridge University Press. This book was released on 1990-06-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.
Download or read book Finite Fields and Applications written by Stephen Cohen and published by Cambridge University Press. This book was released on 1996-09-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite fields are algebraic structures in which there is much research interest. This book gives a state-of-the-art account of finite fields and their applications in communications (coding theory, cryptology), combinatorics, design theory, quasirandom points, algorithms and their complexity. Typically, theory and application are tightly interwoven in the survey articles and original research papers included here. The book also demonstrates interconnections with other branches of pure mathematics such as number theory, group theory and algebraic geometry. This volume is an invaluable resource for any researcher in finite fields or related areas.
Download or read book Lectures on Mechanics written by Jerrold E. Marsden and published by Cambridge University Press. This book was released on 1992-04-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.
Download or read book Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds written by Mark Pollicott and published by Cambridge University Press. This book was released on 1993-02-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a unique introduction to Pesin theory and its applications.
Download or read book Localization in Noetherian Rings written by A. V. Jategaonkar and published by Cambridge University Press. This book was released on 1986-03-13 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes.
