Galois orders in skew monoid rings


Autoria(s): FUTORNY, Vyacheslav; OVSIENKO, Serge
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2010

Resumo

We introduce a new class of noncommutative rings - Galois orders, realized as certain subrings of invariants in skew semigroup rings, and develop their structure theory. The class of Calms orders generalizes classical orders in noncommutative rings and contains many important examples, such as the Generalized Weyl algebras, the universal enveloping algebra of the general linear Lie algebra, associated Yangians and finite W-algebras (C) 2010 Elsevier Inc All rights reserved

CNPq[301743/2007-0]

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fapesp[2005/60337-2]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Fapesp[2004/02850-2]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Fapesp[2006/60763-4]

Identificador

JOURNAL OF ALGEBRA, v.324, n.4, p.598-630, 2010

0021-8693

http://producao.usp.br/handle/BDPI/30715

10.1016/j.jalgebra.2010.05.006

http://dx.doi.org/10.1016/j.jalgebra.2010.05.006

Idioma(s)

eng

Publicador

ACADEMIC PRESS INC ELSEVIER SCIENCE

Relação

Journal of Algebra

Direitos

restrictedAccess

Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE

Palavras-Chave #Galois ring #Galois order #Skew monoid ring #Harish-Chandra subalgebra #GELFAND-ZETLIN MODULES #ALGEBRA #Mathematics
Tipo

article

original article

publishedVersion