Symmetric Brace Algebras
| dc.creator | Lada, Tom | |
| dc.creator | Markl, Martin | |
| dc.date | 2003-07-03 | |
| dc.date | 2005-03-22 | |
| dc.date.accessioned | 2026-07-07T04:59:24Z | |
| dc.date.available | 2026-07-07T04:59:24Z | |
| dc.description | 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. | |
| dc.description | 19 pages; two new sections added: "Equivalence between symmetric brace algebras and pre-Lie algebras" and "Transfers of strongly homotopy structures" | |
| dc.identifier | https://arxiv.org/abs/math/0307054 | |
| dc.identifier | http://arxiv.org/abs/math/0307054 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67973 | |
| dc.subject | Quantum Algebra | |
| dc.title | Symmetric Brace Algebras | |
| dc.type | text |