Harish-Chandra modules for Yangians

Vyacheslav Futorny; Alexander Molev; Serge Ovsienko

Harish-Chandra modules for Yangians

表示论 2007-05-23 v2

作者: Vyacheslav Futorny , Alexander Molev , Serge Ovsienko

摘要

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.

关键词

module theory

引用

@article{arxiv.math/0212272,
  title  = {Harish-Chandra modules for Yangians},
  author = {Vyacheslav Futorny and Alexander Molev and Serge Ovsienko},
  journal= {arXiv preprint arXiv:math/0212272},
  year   = {2007}
}

备注

corrected version

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