1 citations · 1 across the 5 of their papers we have counts for
6 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…
On -crossed Frobenius -algebras and fusion rings associated with braided -actions
Prashant Arote, Tanmay Deshpande
For a finite group , Turaev introduced the notion of a braided -crossed fusion category. The classification of braided -crossed extensions of braided fusion categories was…
Cohomology of bimultiplicative local systems on unipotent groups
Prashant Arote, Tanmay Deshpande
Let be connected commutative unipotent algebraic groups defined over an algebraically closed field of characteristic and let be a bimultiplicativ…
Twisted Orthogonality Relations For Certain -graded Algebras
Prashant Arote
In this paper we will study the notion of a Frobenius -algebra and prove some orthogonality relations for the irreducible characters of a Frobenius -algebra. Then we…