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…
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…
A note on depth preservation
Manish Mishra, Basudev Pattanayak
We show that for a wildly ramified torus, depth is not preserved in general under local Langlands correspondence for tori.
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(\…
Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms
Bertrand Lemaire, Manish Mishra
Let be a non-Archimedan local field, a connected reductive group defined and split over , and a maximal -split torus in . Let be a depth zero character o…
Signs of self-dual depth-zero supercuspidal representations
Manish Mishra
Let be a quasi-split tamely ramified connected reductive group defined over a -adic field . We show that if is in the -points of the absolute Weyl group of , t…
Genericity under parahoric restriction
Manish Mishra, Mirko Rösner
We study the preservation of genericity under parahoric restriction of depth zero representations.
Generic representations in L-packets
Manish Mishra
We give the details of the construction of a map to restate a conjectural expression about adjoint group action on generic representations in L-packets. We give an application of t…
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…
Bernstein center of supercuspidal blocks
Manish Mishra
Let be a tamely ramified connected reductive group defined over a non-archimedean local field . We show that the Bernstein center of a tame supercuspidal block of $\bf…
Structure of the Unramified L-packet
Manish Mishra
Let be an unramified connected reductive group defined over a non-archemedian local field and let be a maximal torus in Let…
Langlands parameters associated to special maximal parahoric spherical representations
Manish Mishra
We describe the image, under the local Langlands correspondence for tori, of the characters of a torus which are trivial on its Iwahori subgroup. Let be a non-archimedian local…