Singular localization for Quantum groups at generic q

2011/02/21 by Erik Backelin, Backelin, Erik, Kobi Kremnizer +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1102.4209

21 pages

openalex publication_date 2011/02/21 · arxiv created 2013/09/20 · arxiv updated 2013/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We quantize parabolic flag manifolds and describe categories of equivariant quantum \D-modules on them at a singular central character. We compute global sections at any q ∈ \C^* and we also prove a singular version of Beilinson-Bernstein localization for a quantized enveloping algebra \Uq(\g), when q is generic.

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