Irreducible highest weight representations of quantum groups \(U_ q(gl(n,\mathbb{C}{}))\)

DOI10.1007/BF02100869zbMath0764.17008OpenAlexW2007972104MaRDI QIDQ1200520

A. Vančura, Miloslav Havlíček, Čestmír Burdík

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02100869

zbMATH Keywords

quantum groupFock space representationirreducible highest weight representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (4)

Finite dimensional irreducible representations of the quantum algebra Uq(C2) ⋮ Self-duality for the two-component asymmetric simple exclusion process ⋮ Quantum algebra symmetry of the ASEP with second-class particles ⋮ Duality Relations for the Periodic ASEP Conditioned on a Low Current

Cites Work

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• The q-analog of the boson algebra, its representation on the Fock space, and applications to the quantum group
• A new method of determining an irreducible representation of quantum Sl_q(3) algebra (I)

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