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math.RT2026
The Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebra
Bintao Cao, Wan Keng Cheong, Ngau Lam
Let be the Gaudin algebra for the general linear Lie (super)algebra with respect to a sequence of…
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 a…