18 citations · 21 across the 5 of their papers we have counts for
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math-ph2003
Laplace transformations and spectral theory of two-dimensional semi-discrete and discrete hyperbolic Schroedinger operators
Alexei A. Oblomkov, Alexei V. Penskoi
We introduce Laplace transformations of 2D semi-discrete hyperbolic Schroedinger operators and show their relation to a semi-discrete 2D Toda lattice. We develop the algebro-geomet…
math.QA2003
Quantization, orbifold cohomology, and Cherednik algebras
Pavel Etingof, Alexei Oblomkov
We compute the Hochschild homology of the crossed product in terms of the Hochschild homology of the associative algebra (over ). It…
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 of double affine Hecke algebras of type . This family generalizes Cherednik's doub…