Homology, Homotopy and Applications

Volume 7 (2005)

Number 2

Proceedings of a Special Session of a Joint RSME-AMS Meeting at Sevilla University

A finite dimensional $L_{\infty}$ algebra example in gauge theory

Pages: 87 – 93

DOI: http://dx.doi.org/10.4310/HHA.2005.v7.n2.a4

Authors

Marilyn Daily (Department of Mathematics, North Carolina State University, Raleigh N.C., U.S.A.)

Tom Lada (Department of Mathematics, North Carolina State University, Raleigh N.C., U.S.A.)

Abstract

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.

Keywords

finite dimensional L-infinity algebra, gauge algebras

2010 Mathematics Subject Classification

18G55

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