Rekha Biswal

collaborators

5 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 $V (m I ¨ ) \otimes V (n I ¨ )$

Rekha Biswal, Sam Jeralds

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

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 $V (I^¾)$ , where $V (I^¾)$ denotes the fusion product a…

math.RT2025

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

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…

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

Components of V(mI¨)⊗V(nI¨)

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

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

Components of $V (m I ¨ ) \otimes V (n I ¨ )$