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math.RT2026
Verma Bases for finite dimensional Representations of the orthosymplectic Lie superalgebra
Bintao Cao, Ye Huang
We define the Verma vector system for each finite dimensional irreducible representation of the orthosymplectic Lie superalgebra with the highest weight …
math.RT2026
Verma Bases and Kashiwara-Nakashima Tableaux of
Bintao Cao, Ye Huang
We construct a one-to-one correspondence between the Verma basis vectors of a finite dimensional irreducible representation of the symplectic Lie algebra …
math.RT2025
Quadratic and cubic Gaudin Hamiltonians and super Knizhnik-Zamolodchikov equations for general linear Lie superalgebras
Bintao Cao, Wan Keng Cheong, Ngau Lam
We show that under a generic condition, the quadratic Gaudin Hamiltonians associated to are diagonalizable on any singular weight space in any tensor produ…