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Symmetric Brace Algebras | | Tom Lada
; Martin Markl
; | | Date: |
3 Jul 2003 | | Subject: | Quantum Algebra | math.QA | | Affiliation: | NCSU) and Martin Markl (Math Institute CAS | | Abstract: | We develop a symmetric analog of brace algebras and discuss the relation of such algebras to $L_{infty}$-algebras. We give an alternate proof that the category of symmetric brace algebras is isomorphic to the category of pre-Lie algebras. As an application, symmetric braces are used to describe transfers of strongly homotopy structures. We then explain how these symmetric brace algebras may be used to examine the $L_{infty}$-algebras that result from a particular gauge theory for massless particles of high spin. | | Source: | arXiv, math.QA/0307054 | | Services: | Forum | Review | PDF | Favorites | |
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