Young tableaux and homotopy commutative algebras
Quantum Algebra
2012-02-15 v1 Mathematical Physics
math.MP
Rings and Algebras
Abstract
A homotopy commutative algebra, or -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 -algebra is generated in degree 1 by the binary and the ternary operations.
Cite
@article{arxiv.1202.2230,
title = {Young tableaux and homotopy commutative algebras},
author = {Michel Dubois-Violette and Todor Popov},
journal= {arXiv preprint arXiv:1202.2230},
year = {2012}
}
Comments
Talk given by Todor Popov at the International Workshop "Lie Theory-IX", Varna, 2011, (11 pages)