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

[摘要] 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 0 to a description of the General integral blocks of Harish-Chandra bimodules. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-12-01