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A note on Hecke patterns in Category O

2010/12/11 by Rahbar Virk, Virk, Rahbar
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1012.2416

20 pages, some typos in previous version fixed, proof of Thm. 9.6 expanded, acknowledgments added, all comments welcome

openalex publication_date 2010/12/11 · arxiv created 2011/01/01 · arxiv updated 2011/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study the family of derived auto-equivalences of the BGG-category O that correspond to the action of the standard generators of the Hecke algebra. Both the non-graded and graded situations are considered.

Citations

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