A. Oblomkov

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20022005

most citedDouble affine Hecke algebras of rank 1 and affine cubic surfaces

18 citations · 21 across the 5 of their papers we have counts for

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math.RT2003★ 18 cited

Double affine Hecke algebras of rank 1 and affine cubic surfaces

Alexei Oblomkov

We study the algebraic properties of the five-parameter family $H (t_{1}, t_{2}, t_{3}, t_{4}; q)$ of double affine Hecke algebras of type $C^{\lor} C_{1}$ . This family generalizes Cherednik's doub…

math.RT2002

Jack polynomials for the $B C_{n}$ root system and generalized spherical functions

Alexei Oblomkov

We give a construction for three parameter family of Jack polynolials for the root system $B C_{n}$ through the generalized spherical functions on the symmetric space $GL(m+n)/GL(m)\t…

Double affine Hecke algebras of rank 1 and affine cubic surfaces

Jack polynomials for the BCn​ root system and generalized spherical functions

Jack polynomials for the $B C_{n}$ root system and generalized spherical functions