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Shifted quantum toroidal algebra of type and the Pieri rule of the super Macdonald polynomials
Hiroaki Kanno, Ryo Ohkawa, Jun'ichi Shiraishi
The super Macdonald polynomials indexed by the super partitions form a basis of the level zero super Fock module (combinatorial representation) of the quantum toroidal algebra $\ma…
Non-stationary difference equation and affine Laumon space III : Generalization to
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
In a series of papers we have considered a non-stationary difference equation which was originally discovered for the deformed Virasoro conformal block. The equation involves mass…
Non-Stationary Difference Equation and Affine Laumon Space II: Quantum Knizhnik-Zamolodchikov Equation
Hidetoshi Awata, Koji Hasegawa, Hiroaki Kanno +4
We show that Shakirov's non-stationary difference equation, when it is truncated, implies the quantum Knizhnik-Zamolodchikov (-KZ) equation for $U_{\mathsf v}\bigl(A_1^{(1)}\big…