3 papers
math.RT2026
The Harish-Chandra isomorphism for supersymmetric spaces and ghost distributions
Shifra Reif, Siddhartha Sahi, Vera Serganova +1
We prove the Harish-Chandra isomorphism theorem for supersymmetric spaces, describing the polynomial algebra of eigenvalues of invariant differential operators. The polynomials obt…
math.RT2025
Localization theorem for homological vector fields
Vera Serganova, Alexander Sherman
We present a general theorem which computes the cohomology of a homological vector field on global sections of vector bundles over smooth affine supervarieties. The hypotheses and…
math.RT2025
On the Grothendieck ring of a quasireductive Lie superalgebra
Maria Gorelik, Vera Serganova, Alexander Sherman
Given a Lie superalgebra and a maximal quasitoral subalgebra , we consider properties of restrictions of -modules to . This…