On moduli spaces for abelian categories


Autoria(s): FUTORNY, Vyacheslav; JARDIM, Marcos; MOURA, Adriano A.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2008

Resumo

We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea is applied to several important abelian categories in representation theory, like highest weight categories.

Identificador

COMMUNICATIONS IN ALGEBRA, v.36, n.6, p.2171-2185, 2008

0092-7872

http://producao.usp.br/handle/BDPI/30642

10.1080/00927870801949708

http://dx.doi.org/10.1080/00927870801949708

Idioma(s)

eng

Publicador

TAYLOR & FRANCIS INC

Relação

Communications in Algebra

Direitos

restrictedAccess

Copyright TAYLOR & FRANCIS INC

Palavras-Chave #Abelian categories #moduli spaces #quivers #stability #FINITE-DIMENSIONAL ALGEBRAS #HIGHEST WEIGHT CATEGORIES #LIE-ALGEBRAS #TRIANGULATED CATEGORIES #STABILITY CONDITIONS #STRATIFIED ALGEBRAS #REPRESENTATIONS #QUIVERS #Mathematics
Tipo

article

original article

publishedVersion