4 citations · 7 across the 11 of their papers we have counts for
17 papers
Pinned Jordan Decomposition of Characters and Depth-Zero Hecke Algebras
Prashant Arote, Manish Mishra
We construct a pinned canonical Jordan decomposition of characters for finite reductive groups in cases where the relevant dual centralizers may be disconnected. For a connected re…
Prasad's Conjecture about dualizing involutions
Prashant Arote, Manish Mishra
Let be a connected reductive group defined over a finite field with corresponding Frobenius . Let denote the duality involution defined by D. Prasad und…
Harish-Chandra Induction and Jordan Decomposition of Characters
Prashant Arote, Manish Mishra
We show that for any finite connected reductive group, a Jordan decomposition can always be chosen such that it commutes with Harish-Chandra induction. En route, we show that the e…
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…
Principal series component of Gelfand-Graev representation
Manish Mishra, Basudev Pattanayak
Let be a connected reductive group defined over a non-archimedean local field . Let be a minimal -parabolic subgroup with Levi factor and unipotent radical . L…
A generalization of the 3d distance theorem
Manish Mishra, Amy Binny Philip
Let be a positive rational number. Call a function to have if the following holds: for any positive…