Clifford algebras and the classical dynamical Yang-Baxter equation

Alekseev, Anton; Meinrenken, E.

doi:10.4310/mrl.2003.v10.n2.a12

Scientific article

English

Clifford algebras and the classical dynamical Yang-Baxter equation

ContributorsAlekseev, Anton; Meinrenken, E.

Published inMathematical research letters, vol. 10, no. 2-3, p. 253-268

Publication date2003

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?

Classification

arxiv : math.RT

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ALEKSEEV, Anton, MEINRENKEN, E. Clifford algebras and the classical dynamical Yang-Baxter equation. In: Mathematical research letters, 2003, vol. 10, n° 2-3, p. 253–268. doi: 10.4310/mrl.2003.v10.n2.a12

Article

Identifiers

PID : unige:12305
DOI : 10.4310/mrl.2003.v10.n2.a12
arXiv : math/0209347v1

Journal ISSN1073-2780

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Clifford algebras and the classical dynamical Yang-Baxter equation

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