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# 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

#### 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