2021arXiv (Cornell University)Open access

A parametrization of unipotent representations

G. Lusztig

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Abstract

We define a map from the unipotent representations of a split semisimple group over a finite field to (essentially) the set of pairs of left cells representations of the Weyl group in the same two-sided cell. We use this map to parametrize the unipotent representations.

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We define a map from the unipotent representations of a split semisimple group over a finite field to (essentially) the set of pairs of left cells representations of the Weyl group in the same two-sided cell. We use this map to parametrize the unipotent representations.

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Available abstract

We define a map from the unipotent representations of a split semisimple group over a finite field to (essentially) the set of pairs of left cells representations of the Weyl group in the same two-sided cell. We use this map to parametrize the unipotent representations.

Key concepts: Unipotent, Parametrization (atmospheric modeling), Mathematics, Pure mathematics, Field (mathematics), Algebra over a field, Weyl group, Set (abstract data type)

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