From the 1 of 13 linked papers with an AI index.
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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…
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…
Eigenvalues of supersymmetric Shimura operators and interpolation polynomials
Siddhartha Sahi, Songhao Zhu
The Shimura operators are a certain distinguished basis for invariant differential operators on a Hermitian symmetric space. Answering a question of Shimura, Sahi and Zhang showed…
Quasi-polynomial representations of double affine Hecke algebras
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran
We introduce an explicit family of representations of the double affine Hecke algebra acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lus…
Restriction Theorems and Root Systems for Symmetric Superspaces
Shifra Reif, Siddhartha Sahi, Vera Serganova
In this paper we consider those involutions of a finite-dimensional Kac-Moody Lie superalgebra , with associated decomposition $\mathfrak g=\mathfrak k\oplus\math…