Establishes a natural isomorphism between the iweight rho-bar space in iHowe duality and the tensor space in iSchur duality, under which relative braid group actions coincide with type B Hecke algebra actions, yielding irreducibility conclusions.
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Dual canonical bases of quantum groups coincide with double canonical bases via i-quiver algebra and quiver variety constructions, with new proofs of positivity and braid group invariance.
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Quantum Howe duality and Schur duality of type AIII
Establishes a natural isomorphism between the iweight rho-bar space in iHowe duality and the tensor space in iSchur duality, under which relative braid group actions coincide with type B Hecke algebra actions, yielding irreducibility conclusions.
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Quiver varieties and dual canonical bases
Dual canonical bases of quantum groups coincide with double canonical bases via i-quiver algebra and quiver variety constructions, with new proofs of positivity and braid group invariance.