Yang-Baxter algebras based on the two-colour BWM algebra

Abstract

We present a Baxterization of a two-colour generalization of the Birman--Wenzl--Murakami (BWM) algebra. Appropriately combining two RSOS-type representations of the ordinary BWM algebra, we construct representations of the two-colour algebra. Using the Baxterization, this provides new RSOS-type solutions to the Yang--Baxter equation.

14 pages, uuencoded compressed PostScript file

References in corpus (7)

• Solvable lattice models labelled by Dynkin diagrams
• On the construction of integrable dilute ADE models
• Multi-Colour Braid-Monoid Algebras
• Solvable RSOS models based on the dilute BWM algebra
• Dilute Birman--Wenzl--Murakami Algebra and $D_{n+1}^{(2)}$ models
• Trigonometric R Matrices related to `Dilute' Birman--Wenzl--Murakami Algebra
• Lattice realizations of unitary minimal modular invariant partition functions

Cited by in corpus (5)

• New R-matrices from Representations of Braid-Monoid Algebras based on Superalgebras
• The Bubble Algebra: Structure of a Two-Colour Temperley-Lieb Algebra
• Exactly soluble isotropic spin-1/2 ladder models
• Power-law entanglement and Hilbert space fragmentation in non-reciprocal quantum circuits
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry