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Subalgebras Which Appear in Quantum Iwasawa Decompositions

Published online by Cambridge University Press:  20 November 2018

Gail Letzter
Gail Letzter*
Affiliation:
Department of Mathematics Whittier College Whittier, CA USA
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Abstract

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Let g be a semisimple Lie algebra. Quantum analogs of the enveloping algebra of the fixed Lie subalgebra are introduced for involutions corresponding to the negative of a diagram automorphism. These subalgebras of the quantized enveloping algebra specialize to their classical counterparts. They are used to form an Iwasawa type decompostition and begin a study of quantum Harish-Chandra modules.

Keywords

17B37
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 6 , 01 December 1997 , pp. 1206 - 1223
Copyright
Copyright © Canadian Mathematical Society 1997

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