Kazhdan-Lusztig conjecture via zastava spaces

Alexander Braverman; Michael Finkelberg; Hiraku Nakajima

doi:10.1515/crelle-2022-0013

Kazhdan-Lusztig conjecture via zastava spaces

Alexander Braverman
, Michael Finkelberg^*
, Hiraku Nakajima

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava spaces. We make similar speculations for the affine Lie algebras and W-algebras.

Original language	English
Pages (from-to)	45-78
Number of pages	34
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2022
Issue number	787
DOIs	https://doi.org/10.1515/crelle-2022-0013
State	Published - 1 Jun 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022 Walter de Gruyter GmbH, Berlin/Boston.

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10.1515/crelle-2022-0013

Cite this

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AU - Nakajima, Hiraku

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AB - We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava spaces. We make similar speculations for the affine Lie algebras and W-algebras.

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Kazhdan-Lusztig conjecture via zastava spaces

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