Exotic Bialgebra S03: Representations, Baxterisation and Applications
摘要
The exotic bialgebra S03, defined by a solution of the Yang-Baxter equation, which is not a deformation of the trivial, is considered. Its FRT dual algebra is studied. The Baxterisation of the dual algebra is given in two different parametrisations. The finite-dimensional representations of are considered. Diagonalisations of the braid matrices are used to yield remarkable insights concerning representations of the L-algebra and to formulate the fusion of finite-dimensional representations. Possible applications are considered, in particular, an exotic eight-vertex model and an integrable spin-chain model.
引用
@article{arxiv.math/0601708,
title = {Exotic Bialgebra S03: Representations, Baxterisation and Applications},
author = {D. Arnaudon and A. Chakrabarti and V. K. Dobrev and S. G. Mihov},
journal= {arXiv preprint arXiv:math/0601708},
year = {2009}
}
备注
24 pages, Latex; V2: revised subsection 4.1, added 9 references, to appear in Annales Henri Poincare in the volume dedicated to D. Arnaudon