Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type

In this paper, we prove some orthogonality relations for representations arising from deep level Deligne–Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b]. Applications include the study of smooth representations of p-adi...

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Bibliographic Details
Main Authors: Olivier Dudas, Alexander B. Ivanov
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424000550/type/journal_article