A formula for the logarithm of the KZ associator.
A note on automorphism group of an n-generator nilpotent lie algebra
Algebraic combinatorics related to the free Lie algebra.
Algebraic setup of non-strict multiple zeta values
Algèbres de Lie libres associées a un système de Pfaff.
By using an invariant related to free Lie algebras, we give a criterion of non existence of isomorphism for the Pfaffian systems.
Asymptotic Behaviour of Colength of Varieties of Lie Algebras
This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics for the colength of a product...
Automorphisms of free nilpotent associative algebras.