Commutative subalgebras from Serre relations

DOI10.1016/j.physletb.2023.138122arXiv2307.01048OpenAlexW4385814329MaRDI QIDQ6055948

Andrei Mironov, Alexander Popolitov, V. Mishnyakov, A. Yu. Morozov

Publication date: 29 September 2023

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.01048

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Formal methods and deformations in algebraic geometry (14D15) Ideals and subalgebras (46H10) Yang-Baxter equations (16T25) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions

Cites Work

• The affine Yangian of \(\mathfrak{gl}_1\) revisited
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• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Generalization of Drinfeld quantum affine algebras
• Explicit examples of DIM constraints for network matrix models
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Representation theory of the vertex algebra \(W_{1+\infty}\)
• Superintegrability summary
• A Presentation of the Deformed W 1+∞ Algebra
• A (q,γ) analog of the W1+∞ algebra
• BEYOND THE LARGE N LIMIT: NON-LINEAR W_∞ AS SYMMETRY OF THE SL(2,R)/U(1) COSET MODEL
• Many-body integrable systems implied by WLZZ models
• \((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functions

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