Abstract
Explicit recurrence formulas of canonical realization (boson representation) for quantum enveloping algebrasU q (gl(n, C)) are given. Using them, irreducible highest weight representations ofU q (gl(n, C)) are obtained as restriction of representation of Fock space to invariant subspace generated by vacuum as a cyclic vector.
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Communicated by K. Gawedzki
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Burdík, Č., Havlíček, M. & Vančura, A. Irreducible highest weight representations of quantum groupsU q (gl(n, C)). Commun.Math. Phys. 148, 417–423 (1992). https://doi.org/10.1007/BF02100869
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DOI: https://doi.org/10.1007/BF02100869