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2022 | OriginalPaper | Chapter

Microlocal Approach to Lusztig’s Symmetries

Authors : Michael Finkelberg, Vadim Schechtman

Published in: Representation Theory and Algebraic Geometry

Publisher: Springer International Publishing

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Abstract

We reformulate the De Concini-Toledano Laredo conjecture about the monodromy of the Casimir connection in terms of a relation between Lusztig’s symmetries of quantum group modules and the monodromy in the vanishing cycles of factorizable sheaves.

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previous chapter Totally Aspherical Parameters for Cherednik Algebras

next chapter Fourier-Sato Transform on Hyperplane Arrangements

see Conjecture 7.3 however.

We thank A. Appel and V. Toledano Laredo for correcting mistakes in the original version of the definition.

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Title: Microlocal Approach to Lusztig’s Symmetries
Authors: Michael Finkelberg
Vadim Schechtman
Publisher: Springer International Publishing
Book: Representation Theory and Algebraic Geometry
Print ISBN: 978-3-030-82006-0

Electronic ISBN: 978-3-030-82007-7

Copyright Year: 2022
DOI: https://doi.org/10.1007/978-3-030-82007-7_3

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