Divyashikha Setia

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20232026

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4 papers · 1 filter

math.RT2026

Tensor decomposition of Demazure crystals for symmetrizable Kac-Moody Lie algebras

Divya Setia

We study the tensor product of Demazure crystals for symmetrizable Kac-Moody Lie algebras. It is not necessary that the tensor product of Demazure crystals is isomorphic to a disjo…

math.RT2025

Graded representations of current Lie superalgebras $sl (1∣2) [t]$

Shushma Rani, Divya Setia

This paper is the study of finite-dimensional graded representations of current lie superalgebras $sl (1∣2) [t]$ . We define the notion of super POPs, a combinatorial tool…

math.RT2024

Filtration of tensor product of local Weyl modules for $sl_{n + 1} [t]$

Divya Setia, Shushma Rani, Tanusree Khandai

In this paper, we consider the tensor product of local Weyl modules for $sl_{n + 1} [t]$ whose highest weights are multiples of the first and $n^{t h}$ fundamental weights.…

math.RT2023

Demazure Filtrations of Tensor Product Modules and Character Formula

Divya Setia, Tanusree Khandai

We study the structure of the finite-dimensional representations of $sl_{2} [t]$ , the current Lie algebra type of $A_{1}$ , which are obtained by taking tensor products of spe…

Tensor decomposition of Demazure crystals for symmetrizable Kac-Moody Lie algebras

Graded representations of current Lie superalgebras sl(1∣2)[t]

Filtration of tensor product of local Weyl modules for sln+1​[t]

Demazure Filtrations of Tensor Product Modules and Character Formula

Graded representations of current Lie superalgebras $sl (1∣2) [t]$

Filtration of tensor product of local Weyl modules for $sl_{n + 1} [t]$