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Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure

Vernadsky National Library of Ukraine

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Title Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure
 
Creator de Commer, K.
 
Description Let g be a compact simple Lie algebra. We modify the quantized enveloping ∗-algebra associated to g by a real-valued character on the positive part of the root lattice. We study the ensuing Verma module theory, and the associated quotients of these modified quantized enveloping ∗-algebras. Restricting to the locally finite part by means of a natural adjoint action, we obtain in particular examples of quantum homogeneous spaces in the operator algebraic setting.
 
Date 2019-02-21T07:27:39Z
2019-02-21T07:27:39Z
2013
 
Type Article
 
Identifier Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure / K. de Commer // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 33 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 17B37; 20G42; 46L65
DOI: http://dx.doi.org/10.3842/SIGMA.2013.081
http://dspace.nbuv.gov.ua/handle/123456789/149373
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України