Character formulas for tilting modules over Kac-Moody algebras

  title={Character formulas for tilting modules over Kac-Moody algebras},
  author={Wolfgang Soergel},
  journal={Representation Theory of The American Mathematical Society},
  • W. Soergel
  • Published 28 December 1998
  • Mathematics
  • Representation Theory of The American Mathematical Society
We show how to express the characters of tilting modules in a (possibly parabolic) category O over a Kac-Moody algebra in terms of the characters of simple highest weight modules. This settles, in lots of cases, Conjecture 7.2 of Kazhdan-Lusztig-Polynome and eine Kombinatorik für Kipp-Moduln, Representation Theory (An electronic Journal of the AMS) (1997), by the author, describing the character of tilting modules for quantum groups at roots 
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