Right coideal subalgebras of the Borel part of a quantized enveloping algebra
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| Publication date | 2011 |
| Journal | International Mathematics Research Notices |
| Pages (from-to) | 419-451 |
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| Abstract | For the Borel part of a quantized enveloping algebra, we classify all right coideal subalgebras for which the intersection with the coradical is a Hopf algebra. The result is expressed in terms of characters of the subalgebras U+[w] of the quantized enveloping algebra, introduced by de Concini, Kac, and Procesi for any Weyl group element w. We explicitly determine all characters of U+[w] building on recent work by Yakimov on prime ideals of U+[w] which are invariant under a torus action. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1093/imrn/rnq074
(Final published version)
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