Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: de Commer, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149373
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...