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math.RT2026
Balanced and neat elements in quasi-reductive Lie superalgebras
Inna Entova-Aizenbud, Vera Serganova
Let be a quasi-reductive supergroup (so its underlying algebraic group is reductive). We consider two trivially intersecting classes of odd elements: neat elements…
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.RT2026
Classification of irreducible real modules of real Lie superalgebras
Siddhartha Sahi, Hadi Salmasian, Vera Serganova
We classify irreducible finite-dimensional modules of a collection of real Lie superalgebras that includes the simple ones, their classical variants, complex Lie superalgebras afte…