W. Soergel

Publications57
h-index14
Citations2,296
Highly Influential Citations213
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Koszul Duality Patterns in Representation Theory
The aim of this paper is to work out a concrete example as well as to provide the general pattern of applications of Koszul duality to repre- sentation theory. The paper consists of three parts…
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Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
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Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p : independence of p
The method disclosed herein may be practiced by passing the vapors to be sampled along a path with halogen vapor, preferably chlorine vapor, heating the mixed vapors to halogenate those of the…
The combinatorics of Harish-Chandra bimodules.
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Character formulas for tilting modules over Kac-Moody algebras
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…
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Kazhdan-Lusztig polynomials and a combinatoric for tilting modules
This article gives a self-contained treatment of the theory of Kazhdan-Lusztig polynomials with special emphasis on affine reflection groups. There are only a few new results but several new proofs.…
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Langlands’ Philosophy and Koszul Duality
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On the relation between intersection cohomology and representation theory in positive characteristic
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The composition series of modules induced from Whittaker modules
AbstractWe study a category of representations over a semisimple Lie algebra, which contains category $ \cal O $ as well as the so-called Whittaker modules, and prove a generalization of the…
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n-Cohomology of simple highest weight modules on walls and purity
SummaryLetG⊃P⊃B be respectively a complex connected linear algebraic semisimple group, a parabolic subgroup and a Borel subgroup. The first main result is the following theorem: Let ℱ be a pure…
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