Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure
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. Restricti...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149373 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862743268158078976 |
|---|---|
| author | de Commer, K. |
| author_facet | de Commer, K. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T20:29:05Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149373 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:29:05Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | de Commer, K. 2019-02-21T07:27:39Z 2019-02-21T07:27:39Z 2013 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 https://nasplib.isofts.kiev.ua/handle/123456789/149373 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure Article published earlier |
| spellingShingle | Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure de Commer, K. |
| title | Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure |
| title_full | Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure |
| title_fullStr | Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure |
| title_full_unstemmed | Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure |
| title_short | Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure |
| title_sort | representation theory of quantized enveloping algebras with interpolating real structure |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149373 |
| work_keys_str_mv | AT decommerk representationtheoryofquantizedenvelopingalgebraswithinterpolatingrealstructure |