Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras
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Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras
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Author : D. J. Benson
language : en
Publisher: Cambridge University Press
Release Date : 1991-03-21
Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras written by D. J. Benson 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 1991-03-21 with Mathematics categories.
This is the first of two volumes providing an introduction to modern developments in the representation theory of finite groups and associative algebras, which have transformed the subject into a study of categories of modules. Thus, Dr. Benson's unique perspective in this book incorporates homological algebra and the theory of representations of finite-dimensional algebras. This volume is primarily concerned with the exposition of the necessary background material, and the heart of the discussion is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost-split sequences are discussed in some detail.
Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras
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Author : D. J. Benson
language : en
Publisher: Cambridge University Press
Release Date : 1998-06-18
Representations And Cohomology Volume 1 Basic Representation Theory Of Finite Groups And Associative Algebras written by D. J. Benson 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 1998-06-18 with Mathematics categories.
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Representations And Cohomology
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Author : David J. Benson
language : en
Publisher:
Release Date : 1991
Representations And Cohomology written by David J. Benson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Homology theory categories.
Trends In Representation Theory Of Algebras And Related Topics
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Author : José Antonio de la Peña
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Trends In Representation Theory Of Algebras And Related Topics written by José Antonio de la Peña and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This book is based on lectures given during a Workshop on Representations of Algebras and Related Topics. Some additional articles are included in order to complete a panoramic view of the main trends of the subject. The volume contains original presentations by leading algebraists addressed to specialists as well as to a broader mathematical audience. The articles include new proofs, examples, and detailed arguments. Topics under discussion include moduli spaces associated to quivers, canonical basis of quantum algebras, categorifications and derived categories, $A$-infinity algebras and functor categories, cluster algebras, support varieties for modules and complexes, the Gabriel-Roiter measure for modules, and selfinjective algebras.
Purity Spectra And Localisation
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Author : Mike Prest
language : en
Publisher: Cambridge University Press
Release Date : 2009-06-04
Purity Spectra And Localisation written by Mike Prest 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 2009-06-04 with Mathematics categories.
A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum. It may be used as an introductory graduate-level text, providing relevant background material and a wealth of illustrated examples. An extensive index and thorough referencing also make this book an ideal reference.
Saturated Fusion Systems On P Groups Of Maximal Class
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Author : Valentina Grazian
language : en
Publisher: American Mathematical Society
Release Date : 2025-04-02
Saturated Fusion Systems On P Groups Of Maximal Class written by Valentina Grazian and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-02 with Mathematics categories.
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Canadian Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1996-12
Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12 with categories.
Topics In Hyperplane Arrangements
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Author : Marcelo Aguiar
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-11-22
Topics In Hyperplane Arrangements written by Marcelo Aguiar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, each divided into eight chapters, and five appendices with background material. Part I gives a detailed discussion on faces, flats, chambers, cones, gallery intervals, lunes and other geometric notions associated with arrangements. The Tits monoid plays a central role. Another important object is the category of lunes which generalizes the classical associative operad. Also discussed are the descent and lune identities, distance functions on chambers, and the combinatorics of the braid arrangement and related examples. Part II studies the structure and representation theory of the Tits algebra of an arrangement. It gives a detailed analysis of idempotents and Peirce decompositions, and connects them to the classical theory of Eulerian idempotents. It introduces the space of Lie elements of an arrangement which generalizes the classical Lie operad. This space is the last nonzero power of the radical of the Tits algebra. It is also the socle of the left ideal of chambers and of the right ideal of Zie elements. Zie elements generalize the classical Lie idempotents. They include Dynkin elements associated to generic half-spaces which generalize the classical Dynkin idempotent. Another important object is the lune-incidence algebra which marks the beginning of noncommutative Möbius theory. These ideas are also brought upon the study of the Solomon descent algebra. The monograph is written with clarity and in sufficient detail to make it accessible to graduate students. It can also serve as a useful reference to experts.
Representations Of Groups
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Author : Bruce Normansell Allison
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Representations Of Groups written by Bruce Normansell Allison and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Survey and research articles from the June 1994 seminar address representations of Lie algebraic, finite, and quantum groups and the relationships among these areas. Topics include complex reflection groups and their associated braid groups; automata to perform basic calculations in Coxeter groups; Heck algebras and representations of finite reductive groups; and Koszul algebras and duality. Of interest to graduate students and research mathematicians. No index. Annotation copyright by Book News, Inc., Portland, OR
Geometric And Topological Aspects Of The Representation Theory Of Finite Groups
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Author : Jon F. Carlson
language : en
Publisher: Springer
Release Date : 2018-10-04
Geometric And Topological Aspects Of The Representation Theory Of Finite Groups written by Jon F. Carlson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-04 with Mathematics categories.
These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled "Groups, Representations, and Cohomology" and held from June 22 to June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016. The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research.