Young tableaux and homotopy commutative algebras

Details Young tableaux and homotopy commutative algebras Young tableaux and homotopy commutative algebras

2012-02-10

arxiv.org/abs/1202.2230v1

Mathematics

Quantum Algebra

Talk given by Todor Popov at the International Workshop "Lie Theory-IX", Varna, 2011, (11 pages)

Scientific paper

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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