From the 1 of 13 linked papers with an AI index.
13 papers
On the Classification of Stein spaces with Bergman-Einstein metrics
Soumya Ganguly, Siddhartha Sahi
The paper shows that the Bergman metric on the regular part of a finite ball quotient is Kähler‑Einstein only when the quotient group is trivial, and consequently a normal Stein sp…
The Opdam-Cherednik kernel is the Laplace transform of a positive measure
Colin McSwiggen, Siddhartha Sahi
We prove that the Opdam-Cherednik kernel, also known as the nonsymmetric Opdam hypergeometric function, can be written as the Laplace transform of a positive measure supported on t…
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…
Majorization Inequalities from Logarithmic Convexity
Colin McSwiggen, Siddhartha Sahi
Majorization inequalities for symmetric polynomials have interested mathematicians for centuries, from the AM-GM inequality for two variables going back at least to BaudhÄyana's Å…
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…
Interpolation Polynomials, Binomial Coefficients, and Symmetric Function Inequalities
Hong Chen, Siddhartha Sahi
Interpolation polynomials were introduced by Knop--Sahi in type , and Okounkov in type . They are inhomogeneous polynomials whose top terms are Jack and Macdonald polynomial…