# Yuri Bahturin: Generalizing Malcev correspondence between nilpotent groups and Lie algebras, with applications

# Generalizing Malcev correspondence between nilpotent groups and Lie algebras, with applications

**Yuri Bahturin
Memorial University of Newfoundland, Canada**

**Abstract.** We study finite-dimensional nilpotent algebras. We prove an
implicit function theorem for such algebras. This allows us to establish
a correspondence between nilpotent algebras and (quasi)groups, in the
spirit of the classical correspondence between divisible torsion-free
nilpotent groups and rational nilpotent Lie algebra, given by A. I.
Malcev. Because of the functorial nature of this correspondence, it can
be used to translate results from algebras to groups and conversely. We
give new examples of this translation. This is joint work with Alexander Olshanskii.

*Dobimo se v predavalnici 2.02 na Jadranski 21. Predavanju sledi druženje ob prigrizkih. Vljudno vabljeni.*

Primož Moravec