000			01865nam a22002297a 4500
999			_c54794 _d54794
008			210322b ||||| |||| 00| 0 eng d
020			_a9780521636537
082			_a512.22 _bBEN
100			_aBenson, David J.
245			_aRepresentations and cohomology: basic representation theory of finite groups and associative algebras, Vol. 1.
260			_aCambridge: _bCambridge University Press, _c1991.
300			_axi, 246 p. : ill. ; _bpb, _c24 cm.
365			_aGBP _b43.99
440			_aCambridge studies in advanced mathematics ; 30
504			_aIncludes bibliographical references and indexes.
520			_aThis is the first 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 is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book 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 detail. Much of the material presented here has never appeared 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.
650			_aRepresentations of algebras
650			_aRepresentations of groups
650			_aHomology theory
650			_aAssociative Algebras
942			_cTD