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arXiv · 1202.2230

Young tableaux and homotopy commutative algebras

Michel Dubois-Violette·Todor Popov
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Abstract

A homotopy commutative algebra, or $C_{\infty}$-algebra, is defined via the Tornike Kadeishvili homotopy transfer theorem on the vector space generated by the set of Young tableaux with self-conjugated Young diagrams. We prove that this $C_{\infty}$-algebra is generated in degree 1 by the binary and the ternary operations.

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BibTeXRIS

Michel Dubois-Violette, Todor Popov. 2012-02-10. Young tableaux and homotopy commutative algebras. https://arxiv.org/abs/1202.2230

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