Degeneration of A-infinity modules

Details Degeneration of A-infinity modules Degeneration of A-infinity modules

2007-05-27

arxiv.org/abs/0705.3948v1

Mathematics

Representation Theory

18 pages

Scientific paper

In this paper we use A-infinity modules to study the derived category of a finite dimensional algebra over an algebraically closed field. We study varieties parameterising A-infinity modules. These varieties carry an action of an algebraic group such that orbits correspond to quasi-isomorphism classes of complexes in the derived category. We describe orbit closures in these varieties, generalising a result of Zwara and Riedtmann for modules.

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