Oscillator versus prefundamental representations. II. Arbitrary higher ranks

DOI10.1063/1.5001336zbMath1388.17008arXiv1701.02627OpenAlexW2587796585MaRDI QIDQ5367002

Frank Göhmann, A. V. Razumov, Hermann Boos, Khazret S. Nirov, Andreas Klümper

Publication date: 10 October 2017

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

Full work available at URL: https://arxiv.org/abs/1701.02627

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (10)

Highest \(\ell\)-weight representations and functional relations ⋮ Complete spectrum of quantum integrable lattice models associated to $\boldsymbol {\mathcal{U}_{q} (\widehat{gl_{n}})}$ by separation of variables ⋮ Affinization of \(q\)-oscillator representations of \(U_q (\mathfrak{gl}_n)\) ⋮ On Poincaré-Birkhoff-Witt basis of the quantum general linear superalgebra ⋮ Evaluation of the operatorial Q-system for non-compact super spin chains ⋮ Oscillator realisations associated to the \(D\)-type Yangian: towards the operatorial Q-system of orthogonal spin chains ⋮ Quantum groups and functional relations for arbitrary rank ⋮ \( \ell \)-weights and factorization of transfer operators ⋮ Vertex models and spin chains in formulas and pictures ⋮ Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

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