Nilpotent Crossed Modules And Pro C Completions
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Nilpotent Crossed Modules And Pro C Completions
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Author : F. J. Korkes
language : en
Publisher:
Release Date : 1990
Nilpotent Crossed Modules And Pro C Completions written by F. J. Korkes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Pro C Completions Of Crossed Modules
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Author : F. J. Korkes
language : en
Publisher:
Release Date : 1987
Pro C Completions Of Crossed Modules written by F. J. Korkes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Crossed Modules
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Author : Friedrich Wagemann
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-10-25
Crossed Modules written by Friedrich Wagemann and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Mathematics categories.
This book presents material in two parts. Part one provides an introduction to crossed modules of groups, Lie algebras and associative algebras with fully written out proofs and is suitable for graduate students interested in homological algebra. In part two, more advanced and less standard topics such as crossed modules of Hopf algebra, Lie groups, and racks are discussed as well as recent developments and research on crossed modules.
Cahiers De Topologie Et G Om Trie Diff Rentielle Cat Goriques
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Author :
language : en
Publisher:
Release Date : 1990
Cahiers De Topologie Et G Om Trie Diff Rentielle Cat Goriques written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Geometry, Differential categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Pro C Crossed Modules
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Author : F. J. Korkes
language : en
Publisher:
Release Date : 1987
Pro C Crossed Modules written by F. J. Korkes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Algebraic Homotopy
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Author : Hans J. Baues
language : en
Publisher: Cambridge University Press
Release Date : 1989-02-16
Algebraic Homotopy written by Hans J. Baues 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 1989-02-16 with Mathematics categories.
This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.
Crossed Products Of C Algebras
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Author : Dana P. Williams
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Crossed Products Of C Algebras written by Dana P. Williams 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 2007 with Mathematics categories.
The theory of crossed products is extremely rich and intriguing. There are applications not only to operator algebras, but to subjects as varied as noncommutative geometry and mathematical physics. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product $C*$-algebras. in addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced representations via the Green-Mackey-Rieffel machine. in particular, there is an in-depth analysis of the imprimitivity theorems on which Rieffel's theory of induced representations and Morita equivalence of $C*$-algebras are based. There is also a detailed treatment of the generalized Effros-Hahn conjecture and its proof due to Gootman, Rosenberg, and Sauvageot. This book is meant to be self-contained and accessible to any graduate student coming out of a first course on operator algebras. There are appendices that deal with ancillary subjects, which while not central to the subject, are nevertheless crucial for a complete understanding of the material. Some of the appendices will be of independent interest. to view another book by this author, please visit Morita Equivalence and Continuous-Trace $C*$-Algebras.
Tensor Categories
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Author : Pavel Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-05
Tensor Categories written by Pavel Etingof 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 2016-08-05 with Mathematics categories.
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.
Lower Central And Dimension Series Of Groups
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Author : Roman Mikhailov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009
Lower Central And Dimension Series Of Groups written by Roman Mikhailov 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 2009 with Mathematics categories.
A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series is a challenging task. This monograph presents an exposition of different methods for investigating this relationship.