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Symmetric spaces over a finite ring

Ben Liu, Sian Nie

math.RTarXiv:2608.17765

Abstract

Deep level Deligne-Lusztig representations, as natural extensions of the classical Deligne-Lusztig representations, have recently seen various applications in the Langlands program. In this note, we address their distinction problem for symmetric pairs over finite fields, yielding a generalization of a classical result by Lusztig.

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