Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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dc.contributor.author	de Commer, K.
dc.date.accessioned	2019-02-21T07:27:39Z
dc.date.available	2019-02-21T07:27:39Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B37; 20G42; 46L65
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.081
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149373
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html. It is a pleasure to thank the following people for discussions on topics related to the subject of this paper: J. Bichon, P. Bieliavsky, H.P. Jakobsen, E. Koelink, S. Kolb, U. Kr¨ahmer and S. Neshveyev.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA