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Title: Symmetrization of brace algebra (English)
Author: Daily, Marilyn
Author: Lada, Tom
Language: English
Journal: Proceedings of the 25th Winter School "Geometry and Physics"
Issue: 2005
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
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