Alcove walks and nearby cycles on affine flag manifolds

Details Alcove walks and nearby cycles on affine flag manifolds Alcove walks and nearby cycles on affine flag manifolds

2006-10-27

arxiv.org/abs/math/0610839v1

Mathematics

Representation Theory

Scientific paper

Using Ram's theory of alcove walks, we give a proof of the Bernstein
presentation of the affine Hecke algebra. The method works also in the case of
unequal parameters. We also discuss how these results help in studying sheaves
of nearby cycles on affine flag manifolds.

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