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math.RT2017
Geometric construction of Gelfand--Tsetlin modules over simple Lie algebras
Vyacheslav Futorny, Libor Krizka
In the present paper we describe a new class of Gelfand--Tsetlin modules for an arbitrary complex simple finite-dimensional Lie algebra g and give their geometric realization as th…
math.QA2017★ 2 cited
Quantum Howe duality and invariant polynomials
Vyacheslav Futorny, Libor Krizka, Jian Zhang
We construct two examples of q-deformed classical Howe dual pairs (sl(2,C), sl(2,C)) and (sl(2,C), sl(n,C)). Moreover, we obtain a noncommutative version of the first fundamental t…