7 papers · 1 filter
A proof of Harish-Chandra's integrability theorem for cuspidal representations of
Avraham Aizenbud, Nir Avni, Dmitry Gourevitch +2
Consider the Chevalley map where . We show that the push forward via of every smooth…
An analogue of irreducible cuspidal representations for the group over a two-dimensional local field
Alexander Braverman, David Kazhdan
Let be a local non-archimedian field of odd residue characteristic and let . In this paper we study an analog of irreducible cuspidal representations of the group $G(…
Rationality properties of complex representations of reductive p-adic groups
David Kazhdan, Maarten Solleveld, Yakov Varshavsky
For a reductive group G over a non-archimedean local field, we compare smooth representations over C with smooth representations over Qbar (an algebraic closure of Q). We show that…
Modular reduction of complex representations of finite reductive groups
Roman Bezrukavnikov, Michael Finkelberg, David Kazhdan +1
The main result describes the Brauer-Nesbitt reduction of unipotent representations of a finite group of Lie type, expressing it as an explicit linear combination of the restrictio…
Orbital integral bounds the character for cuspidal representations of
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
We prove that the character of an irreducible cuspidal representation of is locally bounded up to a logarithmic factor by the orbital integral of a m…
On Harish-Chandra's integrability theorem in positive characteristic
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +3
The celebrated Harish-Chandra's integrability theorem states that the distributional character of an irreducible smooth representation of a p-adic group is integrable, that…