A parametrization of unipotent representations
G. Lusztig
Abstract
Open-access reader
G. Lusztig
Abstract
Open-access reader
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.
Key concepts: Unipotent, Parametrization (atmospheric modeling), Mathematics, Pure mathematics, Field (mathematics), Algebra over a field, Weyl group, Set (abstract data type)