Introduces the relative Coxeter groupoid and constructs explicit relative braid group symmetries for quantum supersymmetric pairs of type sAIII that satisfy the braid relations via quasi K-matrix intertwining.
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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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Relative braid group symmetries on quantum supersymmetric pairs of type sAIII
Introduces the relative Coxeter groupoid and constructs explicit relative braid group symmetries for quantum supersymmetric pairs of type sAIII that satisfy the braid relations via quasi K-matrix intertwining.
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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.