Work

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

Year: 2005

Type: article

Abstract: We construct an example of a finite dimensional L ∞ 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. L ∞ algebrasWe begin by recalling the definition of an L ∞ algebra [7], [9].Let V be a graded vector space over a field k.

Source: Homology Homotopy and Applications

DOI: 10.4310/hha.2005.v7.n2.a4

Authors: Marilyn Daily, Tom Lada

Institutions: North Carolina State University, Max Planck Society, Max Planck Institute for Gravitational Physics

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Award: U.S.-Czech Mathematics Research on Homotopy Invariant Algebraic Structures