Lusztig conjectures on S-cells in affine Weyl groups
Michael Finkelberg, David Kazhdan, Yakov Varshavsky
TL;DR
This paper uses dimension theory to prove some of Lusztig's conjectures related to S-cells in affine Weyl groups, advancing understanding in algebraic group theory.
Contribution
It provides the first proof of certain Lusztig conjectures on S-cells in affine Weyl groups using dimension theory.
Findings
Confirmed several of Lusztig's conjectures on S-cells
Established new connections between dimension theory and affine Weyl groups
Enhanced theoretical understanding of algebraic structures in representation theory
Abstract
We apply the dimension theory developed in [BKV] to establish some of Lusztig's conjectures [Lu].
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