Clifford algebras and the classical dynamical Yang-Baxter equation

Abstract

We describe a relationship of the classical dynamical Yang-Baxter equation with the following elementary problem for Clifford algebras: Given a vector space $V$ with quadratic form $Q_V$, how is the exponential of an element in ${\wedge }^2(V)$ under exterior algebra multiplication related to its exponential under Clifford multiplication?

References in corpus (1)

• On dynamical r-matrices obtained from Dirac reduction and their generalizations to affine Lie algebras

Cited by in corpus (1)

• Clifford algebras and the Duflo isomorphism