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4 papers
Kirillov-Reshetikhin modules and quantum -matrices
Hiroto Kusano, Masato Okado, Hideya Watanabe
From a quantum -matrix of the fundamental representation, we construct one for the Kirillov-Reshetikhin module by fusion construction. Using the crystal theory by the la…
Classical weight modules over quantum groups
Hideya Watanabe
quantum groups are generalizations of quantum groups which appear as coideal subalgebras of quantum groups in the theory of quantum symmetric pairs. In this paper, we defin…
Global crystal bases for integrable modules over a quantum symmetric pair of type AIII
Hideya Watanabe
In this paper, we study basic properties of global -crystal bases for integrable modules over a quantum symmetric pair coideal subalgebra associated t…
Quantum Schur duality of affine type C with three parameters
Zhaobing Fan, Chun-Ju Lai, Yiqiang Li +3
We establish a three-parameter Schur duality between the affine Hecke algebra of type C and a coideal subalgebra of quantum affine . At the equal parameter special…