Mathematical Research Letters

Volume 10, Issue 2, March 2003 pp. 253-268.

Clifford algebras and the classical dynamical Yang-Baxter equation

Authors: A. Alekseev and E. Meinrenken
Author institution: University of Geneva, and University of Toronto

Summary: 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 $\mathcal{Q}_V$, how is the exponential of an element in $\wedge^2(V)$ under exterior algebra multiplication related to its exponential under Clifford multiplication?

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