# Article

 Title: Symmetrization of brace algebra (English) Author: Daily, Marilyn Author: Lada, Tom Language: English Journal: Proceedings of the 25th Winter School "Geometry and Physics" Volume: Issue: 2005 Year: Pages: [75]-86 . Category: math . Summary: Summary: We show that the symmetrization of a brace algebra structure yields the structure of a symmetric brace algebra. We also show that the symmetrization of the natural brace structure on $\bigoplus_{k\ge 1}\operatorname{Hom}(V^{\otimes k},V)$ coincides with the natural symmetric brace structure on $\bigoplus_{k\ge 1}\operatorname{Hom}(V^{\otimes k},V)^{as}$, the direct sum of spaces of antisymmetric maps $V^{\otimes k}\to V$. (English) MSC: 16-99 MSC: 16E40 MSC: 18D50 idZBL: Zbl 1162.18302 idMR: MR2287127 . Date available: 2009-07-13T21:54:37Z Last updated: 2012-09-18 Stable URL: http://hdl.handle.net/10338.dmlcz/701767 .

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