3 papers
math.RT2025
A Note on primitive pairs for graded Lie algebras
Tamanna Chatterjee
We develop a theory of primitive pairs for -graded Lie algebras when the sheaves have coefficients in a field of positive characteristic, providing a graded ana…
math.RT2025
Fourier transform on graded Lie algebras
Tamanna Chatterjee
In this paper we study the Fourier transform on graded Lie algebras. Let be a complex, connected, reductive, algebraic group, and be a fixed cochar…
math.RT2025
Equivariant sheaves for classical groups acting on Grassmannians
Pramod N. Achar, Tamanna Chatterjee
Let be a finite-dimensional complex vector space. Assume that is a direct sum of subspaces each of which is equipped with a nondegenerate symmetric or skew-symmetric biline…