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arXiv · 1808.06896

A new basis for the representation ring of a Weyl group, II

G. Lusztig
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Abstract

In a previous paper I have defined a new basis for the representation ring of a Weyl group. In this paper we show that the new basis is related to the standard basis by an upper triangular unipotent matrix. We also give a new parametrization of representations in a fixed family by certain pairs of subgroups of a finite group attached to the family. We outline an extension to the case of unipotent representations of a finite Chevalley group.

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G. Lusztig. 2018-08-21. A new basis for the representation ring of a Weyl group, II. https://arxiv.org/abs/1808.06896

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