Webdimensional quantum field theory and classical two-dimensional Coulomb gases, this book considers a wide range of models and demonstrates a number of ... 5.2 Derivation of the Yang–Baxter equation 75 5.3 Lax operators, monodromy and transfer matrices 80 5.4 Two-state solutions of the YBE 82 5.5 Braid-group solution 85 5.6 Quantum groups 88 WebApr 11, 2024 · Download a PDF of the paper titled Deformed solutions of the Yang-Baxter equation coming from dual weak braces and unital near-trusses, by Marzia Mazzotta and 2 other authors Download PDF Abstract: We show that a family of set-theoretic solutions comes from dual weak braces, including the recent ones provided in the context of skew …
arXiv:2207.08703v1 [math.QA] 18 Jul 2024
WebMar 15, 2024 · Classical solutions of the quantum Yang-Baxter equation A. Weinstein, P. Xu Mathematics 1992 The classical analogue is developed here for part of the construction in which knot and link invariants are produced from representations of quantum groups. Whereas previous work begins with a… Expand 126 PDF WebThe term R-matrix is used in connection with the Yang–Baxter equation. This is an equation which was first introduced in the field of statistical mechanics, taking its name from independent work of C. N. Yang and R. J. Baxter. The classical R-matrix arises in the definition of the classical Yang–Baxter equation. [1] filets in freezer
Dynamical Yang-Baxter equations, quasi-Poisson …
WebDec 3, 2024 · We have thus managed to recover solutions of classical Yang–Baxter equation from a three-dimensional Chern–Simons theory by using the approach suggested in [4, 5]. As mentioned in the introduction, Turaev and Reshitikhin have previously given constructions of the Jones polynomials using an R-matrix representation of the Artin … WebApr 11, 2024 · We study solutions to a generalized version of the classical Yang-Baxter equation (CYBE) with values in a central simple Lie algebra over a field of characteristic … WebClassical YBE is a 1st order approximation of the quantum YBE. It is an equation for an element $r\in\mathfrak{g}\otimes\mathfrak{g}$, it says $[r_{12}, r_{13}] + [r_{12}, r_{23}] … groot hospitality careers