A note on a canonical dynamical r-matrix

B. G. Pusztai, L. Fehér

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

It is well known that a classical dynamical r-matrix can be associated with every finite-dimensional self-dual Lie algebra Script G sign by the definition R(ω) := f(ad ω), where ω ∈ Script G sign and f is the holomorphic function given by f(z) = 1/2 coth(z/2) -1 /z for z ∈ ℂ \ 2πiℤ*. We present a new, direct proof of the statement that this canonical r-matrix satisfies the modified classical dynamical Yang-Baxter equation on Script G sign.

Original languageEnglish
Pages (from-to)10949-10962
Number of pages14
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number49
DOIs
Publication statusPublished - Dec 14 2001

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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