This is the second of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume concentrates on the cohomology of groups, always with representations in view, however. It begins with a ...
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This is the second of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume concentrates on the cohomology of groups, always with representations in view, however. It begins with a background reference chapter, then proceeds to an overview of the algebraic topology and K-theory associated with cohomology of groups, especially the work of Quillen. Later chapters look at algebraic and topological proofs of the finite generation of the cohomology ring of a finite group, and an algebraic approach to the Steenrod operations in group cohomology. The book cumulates in a chapter dealing with the theory of varieties for modules. Much of the material presented here has never appeared before in book form. Consequently students and research workers studying group theory, and indeed algebra in general, will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.
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Add this copy of Representations and Cohomology to cart. $25.19, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1998 by Cambridge University Press.
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New. Trade paperback (US). 292 p. Cambridge Studies in Advanced Mathematics . Worked examples or Exercises. Intended for professional and scholarly audience.
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Add this copy of Representations and Cohomology, II: Cohomology of to cart. $132.00, very good condition, Sold by AARDVARK RARE BOOKS, ABAA rated 5.0 out of 5 stars, ships from Eugene, OR, UNITED STATES, published 1991 by Cambridge University Press.
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VERY GOOD PLUS. Very mild edgewear to boards with the exception of a.625" dent to front board near fore-edge. Spinecaps very gently folded under. A faint 1.5" curved mark to lower fore-edge. White and red lettering to spine and front of pewter colored boards. A 6 x 1", red diagonal bar, edged in white with a black line down the center, to lower right portion of front cover. Numerous illustrations. Clean, tight, bright. 278 pp. with bibliography and index. Cambridge studies in advanced mathematics 31. This is the second of two volumes which have grown out of about seven years of graduate courses on various aspects of representation theory and cohomology of groups, given at Yale, Northwestern and Oxford. Contents include: Background material from algebraic topology, Cohomology of groups, Spectral sequences, The Evens norm map and the Steenrod algebra, Varieties for modules and multiple complexes, Group actions and the Steinberg module and Local coefficients on subgroup complexes. Chapter 5, in a sense, "is the central chapter of the entire two volumes, since it shows how inextricably intertwined representation theory and cohomology really are, " (introduction).
