02336nam a22003498i 4500001001600000003000700016008004100023020001800064020001800082020001800100035002000118041000800138082001600146100002700162245013800189250003400327264007100361300003800432336002600470337002600496338003600522490005200558500001300610520108000623650003101703650003301734650002101767856005501788932003201843596000601875949010501881CR9780511623615UkCbUP090916s1995||||enk o ||1 0|eng|d a9780511623615 a9780521361347 a9780521636537 a(Sirsi) a792236 aeng00a512/.722201 aBenson, D. J.,eauthor10aRepresentations and cohomology.n1,pBasic representation theory of finite groups and associative algebrash[E-Book] /cD. J. Benson. a[New print with corrections]. 1aCambridge :bCambridge University Press,c1995e(CUP)fCUP20200108 a1 online resource (xi, 246 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aCambridge studies in advanced mathematics ;v30 aenglisch 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. 0aRepresentations of groups. 0aRepresentations of algebras. 0aHomology theory.40uhttps://doi.org/10.1017/CBO9780511623615zVolltext aCambridgeCore (Order 30059) a1 aXX(792236.1)wAUTOc1i792236-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE