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 |
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| 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: | 2025-06-26 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701767 |
| . |
Files
| Files | Size | Format | View |
|---|---|---|---|
| WSGP_25-2005-1_6.pdf | 1.280Mb | application/pdf |
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