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math.QA2020
Dynamical quantum determinants and Pfaffians
Naihuan Jing, Jian Zhang
We introduce the dynamical quantum Pfaffian on the dynamical quantum general linear group and prove its fundamental transformation identity. Hyper quantum dynamical Pfaffian is als…
math.RT2020
Gelfand-Tsetlin modules for gl(n,m)
Vyacheslav Futorny, Vera Serganova, Jian Zhang
We address the problem of classifying of irreducible Gelfand-Tsetlin modules for gl(m|n) and show that it reduces to the classification of Gelfand-Tsetlin modules for the even part…