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arxiv: 1202.2230 · v1 · pith:B3LVQ5H6new · submitted 2012-02-10 · 🧮 math.QA · math-ph· math.MP· math.RA

Young tableaux and homotopy commutative algebras

Michel Dubois-Violette , Todor Popov This is my paper
classification 🧮 math.QA math-phmath.MPmath.RA
keywords algebrahomotopyyoungcommutativegeneratedinftytableauxalgebras
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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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