T. Chatterjee

activity

20202025

collaborators

5 papers

math.RT2025

A Note on primitive pairs for graded Lie algebras

Tamanna Chatterjee

We develop a theory of primitive pairs for $Z$ -graded Lie algebras when the sheaves have coefficients in a field $k$ of positive characteristic, providing a graded ana…

math.RT2024

Equivariant sheaves for classical groups acting on Grassmannians

Pramod N. Achar, Tamanna Chatterjee

Let $V$ be a finite-dimensional complex vector space. Assume that $V$ is a direct sum of subspaces each of which is equipped with a nondegenerate symmetric or skew-symmetric biline…

math.RT2024

Action of the relative Weyl group on partial Springer sheaf

Tamanna Chatterjee, Laura Rider

In the context of the Springer correspondence, the Weyl group action on the Springer sheaf can be defined in two ways: via restriction or the Fourier transform. It is well-known th…

math.RT2022

Fourier transform on graded Lie algebras

Tamanna Chatterjee

In this paper we study the Fourier transform on graded Lie algebras. Let $G$ be a complex, connected, reductive, algebraic group, and $χ : C^{\times} \to G$ be a fixed cochara…

math.RT2020

Study of parity sheaves arising from graded Lie algebra

Tamanna Chatterjee

Let $G$ be a complex, connected, reductive, algebraic group, and $χ : C^{\times} \to G$ be a fixed cocharacter that defines a grading on $g$ , the Lie algebra of $G$ …