Rekha Biswal

activity

20152020

most citedMacdonald Polynomials and level two Demazure modules for affine

sl_{n + 1}

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.RA2020

McKay Matrices for Finite-dimensional Hopf Algebras

Georgia Benkart, Rekha Biswal, Ellen Kirkman +2

For a finite-dimensional Hopf algebra $A$ , the McKay matrix $M_{V}$ of an $A$ -module $V$ encodes the relations for tensoring the simple $A$ -modules with $V$ . We prove results about t…

math.RT2019★ 2 cited

Macdonald Polynomials and level two Demazure modules for affine $sl_{n + 1}$

Rekha Biswal, Vyjayanthi Chari, Peri Shereen +1

We define a family of symmetric polynomials $G_{ν, λ} (z_{1}, \dots, z_{n + 1}, q)$ indexed by a pair of dominant integral weights. The polynomial $G_{ν, 0} (z, q)$ is the specialized Macdon…

math.RT2019

Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes

Rekha Biswal, Travis Scrimshaw

We show that the Kirillov--Reshetikhin crystal $B^{r, s}$ exists when $r$ is a node such that the Kirillov--Reshetikhin module $W^{r, s}$ has a multiplicity free classical decomposit…

math.RT2015

Demazure Flags, Chebyshev polynomials, Partial and Mock theta functions

Rekha Biswal, Vyjayanthi Chari, Lisa Schneider +1

We study the level $m$ --Demazure flag of a level $ℓ$ --Demazure module for $sl_{2} [t]$ . We define the generating series $A_{n}^{ℓ \to m} (x, q)$ which encodes the $q$ …

McKay Matrices for Finite-dimensional Hopf Algebras

Macdonald Polynomials and level two Demazure modules for affine sln+1​

Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes

Demazure Flags, Chebyshev polynomials, Partial and Mock theta functions

Macdonald Polynomials and level two Demazure modules for affine $sl_{n + 1}$