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math.RT2024
The Hecke-Baxter operators via Heisenberg group extensions
A. A. Gerasimov, D. R. Lebedev, S. V. Oblezin
The Hecke-Baxter operator was introduced as an element of the -spherical Hecke algebra associated with the Gelfand pair $O_{\ell+1}\subset GL_…
math.RT2024
On equivalence of the Mellin-Barnes and the Givental integral representations of the Whittaker functions
A. A. Gerasimov, D. R. Lebedev, S. V. Oblezin
We construct an integral transformation intertwining the Gelfand-Tsetlin and the (modified) Gauss-Givental realizations of principle series representations of gl(3). This provides…