Modules and Group Algebras

ISBN-13: 9783764353896 / Angielski / Miękka / 1996 / 92 str.

J. F. Carlson; Jon F. Carlson

Opis

This work develops some of the basics of the interaction of homological algebra, the cohomology of groups and modular representation theory. It reflects a shift towards a more categorical view of representation theory, and an expansion of the viewpoint to include infinitely generated modules.

Spis treści

1 Augmentations, nilpotent ideals, and semisimplicity.- 2 Tensor products, Homs, and duality.- 3 Restriction and induction.- 4 Projective resolutions and cohomology.- 5 The stable category.- 6 Products in cohomology.- 7 Examples and diagrams.- 8 Relative projectivity.- 9 Relative projectivity and ideals in cohomology.- 10 Varieties and modules.- 11 Infinitely generated modules.- 12 Idempotent modules.- 13 Varieties and induced modules.- References.- List of symbols.