✦ LIBER ✦

Modular Representation Theory. New Trends and Methods

✍ Scribed by D. Benson

Book ID: 127453537
Publisher: Springer
Year: 2007
Tongue: English
Weight: 2 MB
Series: Lecture Notes in Mathematics
Edition: LNM1081, Springer
Category: Library
ISBN: 3540389407
DOI: 10.1007/b15289_1

No coin nor oath required. For personal study only.

✦ Synopsis

The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians.

After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. The last of these has become a major theme in representation theory into the 21st century.

Some of this material was incorporated into the author's 1991 two-volume Representations and Cohomology, but nevertheless Modular Representation Theory remains a useful introduction.

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