Derived equivalences and finite dimensional algebras

Details Derived equivalences and finite dimensional algebras Derived equivalences and finite dimensional algebras

2006-03-15

arxiv.org/abs/math/0603356v2

Mathematics

Representation Theory

Article for the Proceedings of ICM 2006 Madrid (31 pages)

Scientific paper

We discuss the homological algebra of representation theory of finite
dimensional algebras and finite groups. We present various methods for the
construction and the study of equivalences of derived categories: local group
theory, geometry and categorifications.

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