Prashant Arote

activity

20182020

collaborators

3 papers

math.QA2020

On $G$ -crossed Frobenius $⋆$ -algebras and fusion rings associated with braided $G$ -actions

Prashant Arote, Tanmay Deshpande

For a finite group $G$ , Turaev introduced the notion of a braided $G$ -crossed fusion category. The classification of braided $G$ -crossed extensions of braided fusion categories was…

math.RT2019

Cohomology of bimultiplicative local systems on unipotent groups

Prashant Arote, Tanmay Deshpande

Let $U_{1}, U_{2}$ be connected commutative unipotent algebraic groups defined over an algebraically closed field $k$ of characteristic $p > 0$ and let $L$ be a bimultiplicativ…

math.RT2018

Twisted Orthogonality Relations For Certain $Z / m Z$ -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…

On G-crossed Frobenius ⋆-algebras and fusion rings associated with braided G-actions

Cohomology of bimultiplicative local systems on unipotent groups

Twisted Orthogonality Relations For Certain Z/mZ-graded Algebras

On $G$ -crossed Frobenius $⋆$ -algebras and fusion rings associated with braided $G$ -actions

Twisted Orthogonality Relations For Certain $Z / m Z$ -graded Algebras