A structure theorem for Harish-Chandra bimodules via coinvariants and Golod rings

We consider the category of Harish-Chandra bimodules for a semisimple complex Lie algebra. We describe algebras of self-extensions of certain simple objects by showing that their blocks are equivalent to module categories over complete intersections or Golod rings. Our main result is a generalisatio...

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Bibliographic Details
Published in:Journal of algebra 2004-12, Vol.282 (1), p.349-367
Main Author: Stroppel, Catharina
Format: Article
Language:English
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Summary:We consider the category of Harish-Chandra bimodules for a semisimple complex Lie algebra. We describe algebras of self-extensions of certain simple objects by showing that their blocks are equivalent to module categories over complete intersections or Golod rings. Our main result is a generalisation of Soergel's structural description of the blocks of category O to a description of the general integral blocks of Harish-Chandra bimodules.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2004.07.037