COMMUTATIVE ALGEBRAS IN DRINFELD CATEGORIES OF ABELIAN LIE ALGEBRAS


Autoria(s): Davydov, Alexei; Futorny, Vyacheslav
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

13/10/2013

13/10/2013

2012

Resumo

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.

FAPESP [2008/10526-1, 2005/60337-2]

FAPESP

MaxPlanckGesellschaft

Max-Planck-Gesellschaft

CNPq [301743/2007-0]

CNPq

Identificador

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, NEW YORK, v. 55, n. 5, supl. 1, Part 3, pp. 613-633, OCT, 2012

0013-0915

http://www.producao.usp.br/handle/BDPI/34283

10.1017/S0013091512000454

http://dx.doi.org/10.1017/S0013091512000454

Idioma(s)

eng

Publicador

CAMBRIDGE UNIV PRESS

NEW YORK

Relação

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

Direitos

closedAccess

Copyright CAMBRIDGE UNIV PRESS

Palavras-Chave #MONOIDAL CATEGORY #DRINFELD CATEGORY #METRIC LIE ALGEBRA #LOCAL MODULE #MATHEMATICS
Tipo

article

original article

publishedVersion