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arXiv · 1805.03770

A new basis for the representation ring of a Weyl group

G. Lusztig
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Abstract

Let W be a Weyl group. We define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the other hand the representations carried by the left cells of W. We show that the representations in the new basis have a certain bipositivity property.

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G. Lusztig. 2019-06-24. A new basis for the representation ring of a Weyl group. https://arxiv.org/abs/1805.03770

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