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Subalgebras which appear in quantum Iwasawa decompositions |
Canad. J. Math. 49(1997), 1206-1223
Published:1997-12-01
Printed: Dec 1997
Printed: Dec 1997
- Gail Letzter
Abstract
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.
| MSC Classifications: | 17B37 - Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23] |