Kailash C. Misra

activity

19962026

most citedPaths, Demazure Crystals and Symmetric Functions

6 citations · 10 across the 9 of their papers we have counts for

collaborators

9 papers

math.RT2026

Representations of twisted quantum affine algebras

Juan Camilo Arias, Vyacheslav Futorny, Kailash C. Misra

We develop the representation theory of imaginary Verma modules for twisted quantum affine algebras and construct the corresponding Kashiwara algebras. The twisted case presents su…

math.RT2024

On $C_{n}^{(1)}$ -Geometric Crystal and its Ultradiscretization

Erica S. Dinkins, Kailash C. Misra

Let $g$ be an affine Lie algebra with index set $I = {0, 1, 2, \dots, n}$ and $g^{L}$ be its Langlands dual. It is conjectured that for each Dynkin node $i…

math.RT2023

Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras

Juan Camilo Arias, Vyacheslav Futorny, Kailash C. Misra

We consider reduced imaginary Verma modules for the untwisted quantum affine algebras $U_q(\hat{\g})$ and define a crystal-like base which we call imaginary crystal base using the…

math.RT2022

Multiplicities of maximal weights of the $s ℓ^(n)$ -module $V (k Λ_{0})$

Rebecca L. Jayne, Kailash C. Misra

Consider the affine Lie algebra $s ℓ^(n)$ with null root $δ$ , weight lattice $P$ and set of dominant weights $P^{+}$ . Let $V (k Λ_{0}), k \in Z_{\geq 1}$ denote the in…

math.CO2022

On Smith normal forms of $q$ -Varchenko matrices

Naomi Boulware, Naihuan Jing, Kailash C. Misra

In this paper, we investigate $q$ -Varchenko matrices for some hyperplane arrangements with symmetry in two and three dimensions, and prove that they have a Smith normal form over $…

math.RT2009

Imaginary Verma modules and Kashiwara algebras for $U_{q} (sl (2))$

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

We consider imaginary Verma modules for quantum affine algebra $U_{q} (sl (2)^)$ and construct Kashiwara type operators and the Kashiwara algebra $K_{q}$ . We sho…

Representations of twisted quantum affine algebras

On Cn(1)​-Geometric Crystal and its Ultradiscretization

Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras

Multiplicities of maximal weights of the sℓ^(n)-module V(kΛ0​)

On Smith normal forms of q-Varchenko matrices

Imaginary Verma modules and Kashiwara algebras for Uq​(sl(2)​)

On $C_{n}^{(1)}$ -Geometric Crystal and its Ultradiscretization

Multiplicities of maximal weights of the $s ℓ^(n)$ -module $V (k Λ_{0})$

On Smith normal forms of $q$ -Varchenko matrices

Imaginary Verma modules and Kashiwara algebras for $U_{q} (sl (2))$