4 papers · 1 filter
A note on sign of a self-dual representation
Manish Mishra
D. Prasad showed that the sign of a self-dual representation of a finite or -adic reductive group is often detected by a central element. We study the extension of his results t…
Regular Bernstein blocks
Jeffrey D. Adler, Manish Mishra
For a connected reductive group defined over a non-archimedean local field , we consider the Bernstein blocks in the category of smooth representations of . Bernstein…
Self-dual cuspidal representations
Jeffrey D. Adler, Manish Mishra
Let be a connected reductive group over a finite field of order . When is small, we make further assumptions on . Then we determine precisely when $G(\…
A Galois side analogue of a theorem of Bernstein
Manish Mishra
Let be a connected reductive group defined over a non archimedean local field . A theorem of Bernstein states that for any compact open subgroup of , there are, up…