Character formulas for tilting modules over Kac-Moody algebras
Author:
- Wolfgang SoergelWSWolfgang Soergel
- 28 December 1998
- journal article
- Published by American Mathematical Society (AMS) in Representation Theory
- Vol. 2 (13) , 432-448
Abstract
We show how to express the characters of tilting modules in a (possibly parabolic) category O \mathcal {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 of unity.Keywords
This publication has 12 references indexed in Scilit:
- Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-ModulnRepresentation Theory, 1997
- Semi-infinite homological algebraInventiones Mathematicae, 1993
- The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequencesMathematische Zeitschrift, 1991
- Infinite-Dimensional Lie Algebras1990
- A decomposition theorem for certain self-dual modules in the category 𝒪Duke Mathematical Journal, 1989
- On some geometric aspects of Bruhat orderings II. The parabolic analogue of Kazhdan-Lusztig polynomialsJournal of Algebra, 1987
- Finite resolutions of modules for reductive algebraic groupsJournal of Algebra, 1986
- Structure of some categories of representations of infinite-dimensional lie algebrasAdvances in Mathematics, 1982
- A Course in Homological Algebra1971
- AN ALGEBRAIC PROPERTY OF LAPLACE'S DIFFERENTIAL EQUATIONThe Quarterly Journal of Mathematics, 1939