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arxiv: math/0209347 · v1 · pith:U73HSOR5new · submitted 2002-09-25 · 🧮 math.RT · math.SG

Clifford algebras and the classical dynamical Yang-Baxter equation

classification 🧮 math.RT math.SG
keywords cliffordalgebrasclassicaldynamicalequationexponentialmultiplicationunder
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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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