2009/10/19 by I. Heckenberger, Heckenberger, I., Stefan Kolb +1
Mathematics · #17B37 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.0910.3505
openalex publication_date 2009/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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