Representations and Cohomology: Volume 2, Cohomology of Groups and Modules (Cambridge Studies in Advanced Mathematics, Series Number 31) - Hardcover
The heart of the book is a lengthy introduction to the representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.
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Book Description:
Now in paperback this is the first of two volumes that will provide an introdcution to modern developments in the representation theory of f inite 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.The heart of the book is a lengthy introduction to the represntation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in some detail.
Review:
."..will certainly have a considerable influence on the further development of the subject." B. K^D"ulshammer, Zentralblatt f^D"ur Mathematik und ihre Grenzgebiete "It will surely give the research area of 'group cohomology' new impetus. It contains most of the results known about cohomology of groups, much of which had previously only been available in research papers." K.W. Roggenkamp, Mathematical Reviews "Benson's exposition is locally clear and engaging...his books are ideally suited for a graduate student or practicing group theorist who wants to reach the current research frontier rapidly. All in all, Benson has done an admirable job of drawing together the most important current ideas relating group representations to topology and group cohomology." J.E. Humphreys, Bulletin of the American Mathematical Society
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- PublisherCambridge University Press
- Publication date1992
- ISBN 10 0521361354
- ISBN 13 9780521361354
- BindingHardcover
- Edition number1
- Number of pages288
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REPRESENTATIONS AND COHOMOLOGY, II : COHOMOLOGY OF GROUPS AND MODULES
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Cambridge University Press, Cambridge
(1991)
ISBN 10: 0521361354
ISBN 13: 9780521361354
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Book Description Hardcover. Condition: 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). Seller Inventory # 69824
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