Topics In Varieties Of Group Representations
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Topics In Varieties Of Group Representations
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Author : Samuil Mikhaĭlovich Vovsi
language : en
Publisher:
Release Date : 1992
Topics In Varieties Of Group Representations written by Samuil Mikhaĭlovich Vovsi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Electronic books categories.
This book is devoted to the theory of group representations and is intended for a broad audience of researchers and graduate students.
Topics In Varieties Of Group Representations
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Author : Samuel M. Vovsi
language : en
Publisher: Cambridge University Press
Release Date : 1991-11-28
Topics In Varieties Of Group Representations written by Samuel M. Vovsi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-28 with Mathematics categories.
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.
Triangular Products Of Group Representations And Their Applications
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Author : S.M. Vovsi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Triangular Products Of Group Representations And Their Applications written by S.M. Vovsi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The construction considered in these notes is based on a very simple idea. Let (A, G ) and (B, G ) be two group representations, for definiteness faithful and finite 1 2 dimensional, over an arbitrary field. We shall say that a faithful representation (V, G) is an extension of (A, G ) by (B, G ) if there is a G-submodule W of V such that 1 2 the naturally arising representations (W, G) and (V/W, G) are isomorphic, modulo their kernels, to (A, G ) and (B, G ) respectively. 1 2 Question. Among all the extensions of (A, G ) by (B, G ), does there exist 1 2 such a "universal" extension which contains an isomorphic copy of any other one? The answer is in the affirmative. Really, let dim A = m and dim B = n, then the groups G and G may be considered as matrix groups of degrees m and n 1 2 respectively. If (V, G) is an extension of (A, G ) by (B, G ) then, under certain 1 2 choice of a basis in V, all elements of G are represented by (m + n) x (m + n) mat rices of the form (*) ~1-~ ~-J lh I g2 I .
Poisson Geometry Deformation Quantisation And Group Representations
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Author : Simone Gutt
language : en
Publisher: Cambridge University Press
Release Date : 2005-06-21
Poisson Geometry Deformation Quantisation And Group Representations written by Simone Gutt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-21 with Mathematics categories.
An accessible introduction to Poisson geometry suitable for graduate students.
Representations Of Solvable Groups
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Author : Olaf Manz
language : en
Publisher: Cambridge University Press
Release Date : 1993-09-16
Representations Of Solvable Groups written by Olaf Manz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-16 with Mathematics categories.
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.
Group Representations
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Author : R.L. Lipsman
language : en
Publisher: Springer
Release Date : 2006-08-01
Group Representations written by R.L. Lipsman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-01 with Mathematics categories.
Galois Representations In Arithmetic Algebraic Geometry
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Author : A. J. Scholl
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-26
Galois Representations In Arithmetic Algebraic Geometry written by A. J. Scholl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-26 with Mathematics categories.
Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.
Surveys In Combinatorics 2003
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Author : C. D. Wensley
language : en
Publisher: Cambridge University Press
Release Date : 2003-07-24
Surveys In Combinatorics 2003 written by C. D. Wensley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-24 with Mathematics categories.
The British Combinatorial Conference is held every two years and is a key event for mathematicians worldwide working in combinatorics. In June 2003 the conference was held at the University of Wales, Bangor. The papers contained here are surveys contributed by the invited speakers and are of the high quality that befits the event. There is also a tribute to Bill Tutte who had a long-standing association with the BCC. The papers cover topics currently attracting significant research interest as well as some less traditional areas such as the combinatorics of protecting digital content. They will form an excellent resource for established researchers as well as graduate students who will find much here to inspire future work.
Algebraic Set Theory
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Author : André Joyal
language : en
Publisher: Cambridge University Press
Release Date : 1995-09-14
Algebraic Set Theory written by André Joyal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-14 with Mathematics categories.
This book offers a new algebraic approach to set theory. The authors introduce a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, the authors explicitly construct these algebras using the theory of bisimulations. Their approach is completely constructive, and contains both intuitionistic set theory and topos theory. In particular it provides a uniform description of various constructions of the cumulative hierarchy of sets in forcing models, sheaf models and realizability models. Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest, and it should be accessible to anyone with a background in categorical logic.
Stable Modules And The D 2 Problem
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Author : F. E. A. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-11
Stable Modules And The D 2 Problem written by F. E. A. Johnson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-11 with Mathematics categories.
This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context.