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A reduction principle for Fourier coefficients of automorphic forms
Dmitry Gourevitch, Henrik P. A. Gustafsson, Axel Kleinschmidt +2
We consider a general class of Fourier coefficients for an automorphic form on a finite cover of a reductive adelic group , associated to the data…
Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials
Siddhartha Sahi, Jasper V. Stokman, Vidya Venkateswaran
Chinta and Gunnells introduced a rather intricate multi-parameter Weyl group action on rational functions on a torus, which, when the parameters are specialized to certain Gauss su…
Generalized and degenerate Whittaker quotients and Fourier coefficients
Dmitry Gourevitch, Siddhartha Sahi
The study of Whittaker models for representations of reductive groups over local and global fields has become a central tool in representation theory and the theory of automorphic…
A combinatorial formula for certain binomial coefficients for Jack polynomials
Yusra Naqvi, Siddhartha Sahi
We present a decomposition of the generalized binomial coefficients associated with Jack polynomials into two factors: a stem, which is described explicitly in terms of hooks of th…
The Capelli eigenvalue problem for Lie superalgebras
Siddhartha Sahi, Hadi Salmasian, Vera Serganova
For a finite dimensional unital complex simple Jordan superalgebra , the Tits-Kantor-Koecher construction yields a 3-graded Lie superalgebra $\mathfrak g_\flat\cong \mathfrak g_…