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arXiv · 0910.3505

Right coideal subalgebras of the Borel part of a quantized enveloping algebra

I. Heckenberger·S. Kolb
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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. Key words: Quantum groups, coideal subalgebras

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BibTeXRIS

I. Heckenberger, S. Kolb. 2009-10-19. Right coideal subalgebras of the Borel part of a quantized enveloping algebra. https://arxiv.org/abs/0910.3505

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