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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)