Representations and Cohomology: Volume 2, Cohomology of Groups and Modules (Cambridge Studies in Advanced Mathematics, Series Number 31) by D. J. Benson (PDF)

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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.

User’s Reviews

Editorial Reviews: 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”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”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 Book Description A further introduction to modern developments in the representation theory of finite groups and associative algebras.

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