REPRESENTATIONS OF THE QUANTUM TOROIDAL ALGEBRA ON HIGHEST WEIGHT MODULES OF THE QUANTUM AFFINE ALGEBRA OF TYPE gl N
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چکیده
A representation of the quantum toroidal algebra of type sl N is de ned on every integrable irreducible highest weight module of the the quantum a ne algebra of type gl N : The q-version of the level-rank duality giving the reciprocal decomposition of the q-Fock space with respect to mutually commutative actions of U 0 q ( b gl N ) of level L and U 0 q ( b sl L ) of level N is described.
منابع مشابه
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تاریخ انتشار 1999