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Abstract
Let g be a semi-simple Lie algebra with fixed root system, and Uq(g) the quantization of its universal enveloping algebra. Let S be a subset of the simple roots of g. We show that the defining relations for Uq(g) can be slightly modified in such a way that the resulting algebra Uq(g;S) allows a homomorphism onto (an extension of) the algebra Pol(Gq/KS,q) of functions on the quantum flag manifold Gq/KSq corresponding to S. Moreover, this homomorphism is equivariant with respect to a natural adjoint action of Uq(g) on Uq(g;S) and the standard action of Uq(g) on Pol(Gq/KSq).
Original language | English |
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Pages (from-to) | 725-742 |
Number of pages | 17 |
Journal | Transform. Groups |
Volume | 20 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2015 |
Keywords
- Quantum groups
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Integrable systems and quantum symmetries XXII
Kenny De Commer (Invited speaker)
24 Jun 2014Activity: Talk or presentation › Talk or presentation at a conference
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Workshop quantum groups and operator algebras
Kenny De Commer (Invited speaker)
8 May 2014Activity: Talk or presentation › Talk or presentation at a workshop/seminar