Harish-Chandra modules for Yangians

2002/12/19 by Vyacheslav Futorny, Futorny, Vyacheslav, Alexander Molev +3
Mathematics · #17B35 #17B67 #81R10 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B35 #msc:17B67 #msc:81R10

paper · pdf · doi:10.48550/arxiv.math/0212272

corrected version

openalex publication_date 2002/12/19 · arxiv created 2003/04/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Harish-Chandra representations of Yangian for gl(2). We prove an analogue of Kostant theorem showing that resterited Yangians for gl(2) are free modules over certain maximal commutative subalgebras. We also study the categories of generic Harish-Chandra modules, describe their simple modules and indecomposable modules in tame blocks.

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