Dmitry R. Lebedev

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math.RT2025

Global $G L_{2}$ Hecke-Baxter operator

Anton A. Gerasimov, Dmitry R. Lebedev, Sergey V. Oblezin

We construct a global Hecke-Baxter operator for integrable systems of arithmetic type associated with the group $G L_{2}$ . This is an element of a global Hecke algebra associated with…

math.RT2025

The $G L_{ℓ + 1} (R)$ Hecke-Baxter operator: principal series representations

Anton A. Gerasimov, Dmitry R. Lebedev, Sergey V. Oblezin

Previously introduced the $G L_{ℓ + 1} (R)$ Hecke-Baxter operator is a one-parameter family of elements in the commutative spherical Hecke algebra $\mathcal{H}(GL_{\ell+1}(…

Global GL2​ Hecke-Baxter operator

The GLℓ+1​(R) Hecke-Baxter operator: principal series representations

Global $G L_{2}$ Hecke-Baxter operator

The $G L_{ℓ + 1} (R)$ Hecke-Baxter operator: principal series representations