Quantum groups, Verma modules andq-oscillators: general linear case

DOI10.1088/1751-8121/aa7808zbMath1371.81176arXiv1610.02901OpenAlexW2530833937MaRDI QIDQ4978597

Khazret S. Nirov, A. V. Razumov

Publication date: 25 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02901

zbMATH Keywords

quantum groupsVerma modulessubmodules\(q\)-oscillators

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (8)

Highest \(\ell\)-weight representations and functional relations ⋮ A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators ⋮ On Poincaré-Birkhoff-Witt basis of the quantum general linear superalgebra ⋮ Oscillator versus prefundamental representations. II. Arbitrary higher ranks ⋮ Universal Baxter TQ-relations for open boundary quantum integrable systems ⋮ Quantum groups and functional relations for arbitrary rank ⋮ \( \ell \)-weights and factorization of transfer operators ⋮ Vertex models and spin chains in formulas and pictures

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