Symmetric Pairs for Quantized Enveloping Algebras |
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Authors: | Gail Letzter |
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Institution: | Mathematics Department, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 24061, f1 |
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Abstract: | Let θ be an involution of a semisimple Lie algebra g, let gθ 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(gθ) 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(gθ). |
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