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math.RT2022
Irreducibility of wave-front sets for depth zero cuspidal representations
Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
We show that the results of [BM97, DeB02b, Oka, Lus85, AA07, Tay16] imply a positive answer to the question of Moeglin-Waldspurger on wave-front sets in the case of depth zero cusp…
math.RT2022
A Stone-von Neumann equivalence of categories for smooth representations of the Heisenberg group
Raul Gomez, Dmitry Gourevitch, Siddhartha Sahi
The classical Stone-von Neuman theorem relates the irreducible unitary representations of the Heisenberg group to non-trivial unitary characters of its center , and plays…