Universal Solutions of Quantum Dynamical Yang-Baxter Equations
D. Arnaudon, E. Buffenoir, E. Ragoucy, Ph. Roche
TL;DR
This paper constructs a universal trigonometric solution to the quantum dynamical Yang-Baxter equations for certain finite-dimensional Lie algebras and superalgebras, advancing the understanding of these mathematical structures.
Contribution
It introduces a universal solution to the Gervais-Neveu-Felder equation applicable to finite-dimensional simple Lie algebras and superalgebras, expanding existing solution frameworks.
Findings
Universal trigonometric solutions constructed
Applicable to finite-dimensional simple Lie algebras
Extends to simple Lie superalgebras
Abstract
We construct a universal trigonometric solution of the Gervais-Neveu-Felder equation in the case of finite dimensional simple Lie algebras and finite dimensional contragredient simple Lie superalgebras.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra