6 papers · 1 filter
Uniqueness of Branching through regular unipotent elements
Santosh Nadimpalli, Santosha Pattanayak
Let \(\mathrm G\) be a complex simple algebraic group and let \(\mathrm G_0\subset \mathrm G\) be a closed connected subgroup containing a regular unipotent element of \(\mathrm G\…
A note on finiteness of Tate cohomology groups
Sabyasachi Dhar, Santosh Nadimpalli
Let be a reductive algebraic group defined over a non-Archimedean local field of residue characteristic . Let be an automorphism of of order -- a prime n…
Jacquet modules of Tate cohomology and base change lifting
Sabyasachi Dhar, Santosh Nadimpalli
Let be a connected reductive group defined over a non-Archimedean local field of residue characteristic . Let be a prime number distinct from . Let be a cy…
Character theory at a torsion element
Santosh Nadimpalli, Santosha Pattanayak, Dipendra Prasad
The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on an…
Twisted Jacquet modules: a conjecture of D. Prasad
Santosh Nadimpalli, Mihir Sheth
In this note, we study the twisted Jacquet modules of sub-quotients of principal series representations of where is a division algebra over a non-archimedean lo…
On the integrality of locally algebraic representations of
Santosh Nadimpalli, Mihir Sheth
Emerton's theory of Jacquet modules for locally analytic representations provides necessary conditions for the existence of integral structures in locally analytic representations.…