Rekha Biswal

activity

20142026

most citedMinuscule Schubert varieties: Poset polytopes, PBW-degenerated Demazure modules, and Kogan faces

9 citations · 21 across the 13 of their papers we have counts for

collaborators

16 papers

math.RT2026

On some components of $L (ρ) \otimes L (ρ)$ associated with rooted trees for symmetrizable Kac-Moody algebras

Rekha Biswal, Patrick Polo

Let $g$ be a symmetrizable Kac-Moody algebra over $C$ and let $L (ρ)$ be the irreducible integrable $g$ -module with highest weight $ρ$ . Let $I$ be a s…

math.RT2026

Components of $V (m ρ) \otimes V (n ρ)$

Rekha Biswal, Sam Jeralds

Let $g$ be a symmetrizable Kac-Moody Lie algebra and let $ρ$ denote the sum of the fundamental weights. The irreducible highest weight representations $V (m ρ)$ occupy a d…

math.RT2026

Chebyshev quotients, Demazure multiplicities, and Dyck-path models

Rekha Biswal, Ken Ono, Jujian Zhang

We study Chebyshev quotients that arise in the representation theory of Lie algebras, specifically within the theory of Demazure flags for fusion products of $sl_{2} [t]$ -m…

math.RT2026

Graded characters, demazure multiplicities, and chebyshev polynomials

Rekha Biswal

In this paper, we study numerical multiplicities of Demazure modules in the excellent filtration of $sl_{2} [t]$ -modules $V (ξ)$ , where $V (ξ)$ denotes the fusion product ass…

math.RT2025

Existence of a new family of irreducible components in the tensor product and its applications

Rekha Biswal, Stéphane Gaussent

In this paper, using crystal theory we prove the existence of a new family of irreducible components appearing in the tensor product of two irreducible integrable highest weight mo…

math.RA2021

Ideals in enveloping algebras of affine Kac-Moody algebras

Rekha Biswal, Susan J. Sierra

Let $L$ be an affine Kac-Moody algebra, with central element $c$ , and let $λ \in C$ . We study two-sided ideals in the central quotient $U_{λ} (L) := U (L) / (c - λ)$ of the universal…

math.RA2020★ 1 cited

Tensor Representations for the Drinfeld Double of the Taft Algebra

Georgia Benkart, Rekha Biswal, Ellen Kirkman +2

Over an algebraically closed field $k$ of characteristic zero, the Drinfeld double $D_{n}$ of the Taft algebra that is defined using a primitive $n$ th root of unity $q \in \m…

math.RA2020★ 1 cited

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★ 5 cited

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.RT2019★ 1 cited

Kirillov-Reshetikhin crystals $B^{7, s}$ for type $E_{7}^{(1)}$

Rekha Biswal, Travis Scrimshaw

We construct a combinatorial crystal structure on the Kirillov-Reshetikhin crystal $B^{7, s}$ in type $E_{7}^{(1)}$ , where $7$ is the unique node in the orbit of $0$ in the affine Dyn…

math.RT2017

A combinatorial formula for graded multiplicities in excellent filtrations

Rekha Biswal, Deniz Kus

A filtration of a representation whose successive quotients are isomorphic to Demazure modules is called an excellent filtration. In this paper we study graded multiplicities in ex…

math.RT2017★ 2 cited

Classification of rank two Lie conformal algebras

Rekha Biswal, Abdelkarim Chakhar, Xiao He

We give a complete classification (up to isomorphism) of Lie conformal algebras which are free of rank two as $\C[\partial]$-modules, and determine their automorphism groups.

math.RT2016

Demazure flags, $q$ --Fibonacci polynomials and hypergeometric series

Rekha Biswal, Vyjayanthi Chari, Deniz Kus

We study a family of finite--dimensional representations of the hyperspecial parabolic subalgebra of the twisted affine Lie algebra of type $A_{2}^{(2)}$ . We prove that these mod…

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 $q$ …

math.RT2014★ 9 cited

Minuscule Schubert varieties: Poset polytopes, PBW-degenerated Demazure modules, and Kogan faces

Rekha Biswal, Ghislain Fourier

We study a family of posets and the associated chain and order polytopes. We identify the order polytope as a maximal Kogan face in a Gelfand-Tsetlin polytope of a multiple of a fu…

On some components of L(ρ)⊗L(ρ) associated with rooted trees for symmetrizable Kac-Moody algebras

Components of V(mρ)⊗V(nρ)

Chebyshev quotients, Demazure multiplicities, and Dyck-path models

Graded characters, demazure multiplicities, and chebyshev polynomials

Existence of a new family of irreducible components in the tensor product and its applications

Ideals in enveloping algebras of affine Kac-Moody algebras

Tensor Representations for the Drinfeld Double of the Taft Algebra

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

Kirillov-Reshetikhin crystals B7,s for type E7(1)​

A combinatorial formula for graded multiplicities in excellent filtrations

Classification of rank two Lie conformal algebras

Demazure flags, q--Fibonacci polynomials and hypergeometric series

Demazure Flags, Chebyshev polynomials, Partial and Mock theta functions

Minuscule Schubert varieties: Poset polytopes, PBW-degenerated Demazure modules, and Kogan faces

On some components of $L (ρ) \otimes L (ρ)$ associated with rooted trees for symmetrizable Kac-Moody algebras

Components of $V (m ρ) \otimes V (n ρ)$

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

Kirillov-Reshetikhin crystals $B^{7, s}$ for type $E_{7}^{(1)}$

Demazure flags, $q$ --Fibonacci polynomials and hypergeometric series