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math.RT2020★ 2 cited
Orthogonality relations for deep level Deligne--Lusztig schemes of Coxeter type
Olivier Dudas, Alexander B. Ivanov
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 Luszt…
math.RT2019★ 4 cited
Cohomological representations of parahoric subgroups
Charlotte Chan, Alexander B. Ivanov
We generalize a cohomological construction of representations due to Lusztig from the hyperspecial case to arbitrary parahoric subgroups of a reductive group over a local field, wh…