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Remarks on affine Springer fibres

Published 4 Feb 2019 in math.RT | (1902.01006v1)

Abstract: Let h be a regular semisimple element in a complex simple Lie algebra g. Let t be an indeterminate. We consider the "variety" of Iwahori subalgebras of g tensored with power series in t which contain t times h. This variety admits a free action of a free abelian group of rank equal to the rank of g. We describe a fundamental domain for this action.

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