Evgeny Chibrikov
IME-USP
On linear bases of a free Sabinin algebra.
Resumo: Sabinin algebras are algebraic objects that capture the local structure of analytic loops in the same way in which Lie algebras capture the local structure of Lie groups. They were introduced by L.Sabinin and P.Miheev in 1987.
In 1962 A.Shirshov suggested a scheme for choosing bases of a free Lie algebra that generalizes the Hall and Lyndon-Shirshov bases. In this report we generalize the Shirshov scheme for the case of Sabinin algebras.
FAPESP Proc. 07/59746-0