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arXiv · 1711.10208

On the inner products of some Deligne--Lusztig type representations

Zhe Chen
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Abstract

In this paper we introduce a family of Deligne--Lusztig type varieties attached to connected reductive groups over quotients of discrete valuation rings, naturally generalising the higher Deligne--Lusztig varieties and some constructions related to the algebraisation problem raised by Lusztig. We establish the inner product formula between the representations associated to these varieties and the higher Deligne--Lusztig representations.

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Zhe Chen. 2017-11-28. On the inner products of some Deligne--Lusztig type representations. https://arxiv.org/abs/1711.10208

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