Skip to main content
Article thumbnail
Location of Repository

Dynamical Yang-Baxter maps with an Invariance Condition

By Youichi Shibukawa

Abstract

By means of left quasigroups L = (L, ·) and ternary systems, we construct dynamical Yang-Baxter maps associated with L, L, and (·) satisfying an invariance condition that the binary operation (·) of the left quasigroup L defines. Conversely, this construction characterize such dynamical Yang-Baxter maps. The unitary condition of the dynamical Yang-Baxter map is discussed. Moreover, we establish a correspondence between two dynamical Yang-Baxter maps constructed in this paper. This correspondence produces a version of the vertex-IRF correspondence

Year: 2007
OAI identifier: oai:CiteSeerX.psu:10.1.1.311.7947
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/0704.3109... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.