Clifford algebras and the classical dynamical Yang-Baxter equation

Details Clifford algebras and the classical dynamical Yang-Baxter equation Clifford algebras and the classical dynamical Yang-Baxter equation

2002-09-25

arxiv.org/abs/math/0209347v1

Math. Res. Lett. 10 (2003), no. 2-3, 253--268

Mathematics

Representation Theory

Scientific paper

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?

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