Representations and Cohomology: Volume 2, Cohomology of Groups and Modules PDF Download
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Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636520
Category : Mathematics
Languages : en
Pages : 296
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Book Description
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636520
Category : Mathematics
Languages : en
Pages : 296
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Book Description
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521636537
Category : Mathematics
Languages : en
Pages : 260
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Book Description
An introduction to modern developments in the representation theory of finite groups and associative algebras.
Author: David J. Benson
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 279
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Book Description
Author: D. J. Benson
Publisher:
ISBN: 9780521169905
Category :
Languages : en
Pages :
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Book Description
Author: D. J. Benson
Publisher: Cambridge University Press
ISBN: 9780521361347
Category : Mathematics
Languages : en
Pages : 260
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Book Description
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.
Author: Jon F. Carlson
Publisher: Springer Science & Business Media
ISBN: 9401702152
Category : Mathematics
Languages : en
Pages : 782
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Book Description
Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen tation theory that we take as our primary motivation for this book. The book consists of two separate pieces. Chronologically, the first part was the computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64. The ideas and the programs for the calculations were developed over the last 10 years. Several new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the com putations. We have gathered together many of the results and ideas that are the focus of the calculations from throughout the mathematical literature.
Author: Alejandro Adem
Publisher: American Mathematical Soc.
ISBN: 0821806580
Category : Mathematics
Languages : en
Pages : 549
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Book Description
This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.
Author: D. Benson
Publisher: Springer Science & Business Media
ISBN: 3540133895
Category : Mathematics
Languages : en
Pages : 246
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Book Description
This reprint of a 1983 Yale graduate course makes results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. Following a review of background material, the lectures examine three closely connected topics in modular representation theory of finite groups: representations rings; almost split sequences and the Auslander-Reiten quiver; and complexity and cohomology varieties, which has become a major theme in representation theory.
Author: Kenneth S. Brown
Publisher: Springer Science & Business Media
ISBN: 1468493272
Category : Mathematics
Languages : en
Pages : 318
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Book Description
Aimed at second year graduate students, this text introduces them to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology, and the basics of the subject, as well as exercises, are given prior to discussion of more specialized topics.
Author: Alejandro Adem
Publisher: Springer Science & Business Media
ISBN: 3662062828
Category : Mathematics
Languages : en
Pages : 333
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Book Description
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.
