Representations and cohomology. I: Basic representation theory of finite groups and associative algebras. (English) Zbl 0908.20001

Cambridge Studies in Advanced Mathematics. 30. Cambridge: Cambridge University Press. xi, 246 p. (1998).
See the joined review Zbl 0908.20002 below. For a review of the first ed. (1991) see Zbl 0718.20001.


20-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory
20C20 Modular representations and characters
20J06 Cohomology of groups
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
16-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras
16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
20-02 Research exposition (monographs, survey articles) pertaining to group theory
19A22 Frobenius induction, Burnside and representation rings
20J05 Homological methods in group theory
16S34 Group rings
20C11 \(p\)-adic representations of finite groups
16Gxx Representation theory of associative rings and algebras