Shrawan Kumar

activity

20222025

collaborators

3 papers

math.KT2025

Conjectural Positivity for Pontryagin Product in Equivariant K-theory of Loop Groups

Shrawan Kumar

Let $G$ be a connected simply-connected simple algebraic group over $C$ and let $T$ be a maximal torus, $B \supset T$ a Borel subgroup and $K$ a maximal compact subgroup. T…

math.RT2024

Character of Irreducible Representations Restricted to Finite Order Elements -- An Asymptotic Formula

Shrawan Kumar, Dipendra Prasad

Let $G$ be a connected reductive group over the complex numbers and let $T \subset G$ be a maximal torus. For any $t \in T$ of finite order and any irreducible representation $V (λ)$ …

math.RT2022

Representation ring of Levi subgroups versus cohomology ring of flag varieties III

Shrawan Kumar, Jiale Xie

For any reductive group $G$ and a parabolic subgroup $P$ with its Levi subgroup $L$ , the first author [Ku2] introduced a ring homomorphism $ ξ^P_λ: Rep^\mathbb{C}_{λ-poly}(L) \to H…