Alexei A. Oblomkov

activity

20002026

most citedTwo-dimensional algebro-geometric difference operators

6 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2026

Asymptotic $q, t$ -Fuss--Catalan numbers for type $B$

Alexei Oblomkov

Let $W = W (B_{n})$ act diagonally on $h \oplus h^{*}$ , let $S = C [h \oplus h^{*}]$ , let $J \subset S$ be the ideal generated by the $W$ -altern…

math.RT2005

Deformed Harish-Chandra homomorphism for the cyclic quiver

A. Oblomkov

In the case of cyclic quiver we prove that the deformed Harish-Chandra map whose existence was conjectured by Etingof and Ginzburg is well defined. As an application we prove Kiril…

math.QA2003

Vector valued spherical functions and Macdonald-Koornwinder polynomials

Alexei A. Oblomkov, Jasper V. Stokman

We interpret the five parameter family of Macdonald-Koornwinder polynomials as vector valued spherical functions on quantum Grassmannians.

math-ph2000★ 6 cited

Two-dimensional algebro-geometric difference operators

Alexei A. Oblomkov, Alexei V. Penskoi

A generalized inverse problem for a two-dimensional difference operator is introduced. A new construction of the algebro-geometric difference operators of two types first considere…

Asymptotic q,t-Fuss--Catalan numbers for type B

Deformed Harish-Chandra homomorphism for the cyclic quiver

Vector valued spherical functions and Macdonald-Koornwinder polynomials

Two-dimensional algebro-geometric difference operators

Asymptotic $q, t$ -Fuss--Catalan numbers for type $B$