## 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.

### MSC:

 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

### Citations:

Zbl 0731.20001; Zbl 0908.20002; Zbl 0718.20001