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COMMUTATIVE ALGEBRAS IN DRINFELD CATEGORIES OF ABELIAN LIE ALGEBRAS

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Author(s):
Davydov, Alexei ; Futorny, Vyacheslav
Total Authors: 2
Document type: Journal article
Source: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 55, p. 21-pg., 2012-10-01.
Abstract

We describe (braided-) commutative algebras with non-degenerate multiplicative form in certain braided monoidal categories, corresponding to abelian metric Lie algebras (so-called Drinfeld categories). We also describe local modules over these algebras and classify commutative algebras with a finite number of simple local modules. (AU)

FAPESP's process: 05/60337-2 - Lie and Jordan algebras, their representations and generalizations
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 08/10526-1 - Alexei Davydov | University of Sydney - Australia
Grantee:Vyacheslav Futorny
Support Opportunities: Research Grants - Visiting Researcher Grant - International