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Symmetric pairs for quantized enveloping algebras - MaRDI portal

Symmetric pairs for quantized enveloping algebras (Q1818882)

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scientific article; zbMATH DE number 1384485
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Symmetric pairs for quantized enveloping algebras
scientific article; zbMATH DE number 1384485

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    Symmetric pairs for quantized enveloping algebras (English)
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    14 March 2001
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    Let \(\theta\) be an involution of a semisimple Lie algebra \(\mathfrak g\), and let \(\mathfrak g^\theta\) denote the fixed Lie subalgebra, and assume the Cartan subalgebra of \(\mathfrak g\) has been chosen in a suitable way. The author constructs a quantum analog of \(U(\mathfrak g^\theta)\) which can be characterized as the unique subalgebra of the quantized enveloping algebra of \(\mathfrak g\) which is a maximal right coideal that specializes to \(U(\mathfrak g^\theta)\).
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    quantum groups
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    quantized enveloping algebras
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