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(…
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…
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…
Automorphic functionals for the minimal representations of groups of type and
Nadya Gurevich, David Kazhdan
Let be a split simply-connected group of type or . The minimal automorphic representation of admits a realization on a space of functions $\mathcal S(…