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Symmetrization of brace algebra

Daily, MarilynLada, Tom — 2006

Proceedings of the 25th Winter School "Geometry and Physics"

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 k 1 Hom ( V k , V ) coincides with the natural symmetric brace structure on k 1 Hom ( V k , V ) a s , the direct sum of spaces of antisymmetric maps V k V .

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