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Symmetric Pairs for Quantized Enveloping Algebras

✍ Scribed by Gail Letzter

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 290 KB
Volume: 220
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8015

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✦ Synopsis

Let θ be an involution of a semisimple Lie algebra g, let g θ denote the fixed Lie subalgebra, and assume the Cartan subalgebra of g has been chosen in a suitable way. We construct a quantum analog of U g θ which can be characterized as the unique subalgebra of the quantized enveloping algebra of g which is a maximal right coideal that specializes to U g θ .

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