A finite dimensional {L\sb \infty} algebra example in gauge theory

We construct an example of a finite dimensional L_{\infty} algebra which is generated by a Lie algebra together with a non-Lie action on another vector space. We then show how this example fits into the gauge transformation theory of Berends, Burgers and Van Dam.

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Veröffentlicht in:Homology, homotopy, and applications homotopy, and applications, 2005, Vol.7 (no. 2), p.87-93
Hauptverfasser: Daily, Marilyn, Lada, Tom
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Zusammenfassung:We construct an example of a finite dimensional L_{\infty} algebra which is generated by a Lie algebra together with a non-Lie action on another vector space. We then show how this example fits into the gauge transformation theory of Berends, Burgers and Van Dam.
ISSN:1532-0081