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2020 / March Volume 15 No.1
Remarks on Affine Springer Fibres
Published Date
2020 / March
Title
Remarks on Affine Springer Fibres
Author
G. Lusztig
Keyword
Simple Lie algebra, Iwahori subalgebra, fundamental domain, Simple Lie algebra, Iwahori subalgebra, fundamental domain
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Pagination
1-8
Abstract
Let h be a regular semisimple element in a complex simple Lie algebra $\frak g$. Let $\frak t$ be an indeterminate. We consider the “variety” of Iwahori subalgebras of $\frak g$ tensored with the power series in $\frak t$ which contain $\frak t$ times h. This variety admits a free action of a free abelian group of rank equal to the rank of $\frak g$. We describe a fundamental domain for this action.
DOI
10.21915/BIMAS.2020101
https://doi.org/10.21915/BIMAS.2020101
AMS Subject
Classification
20G99
Received
2019-11-17
Accepted
2019-11-17
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