Events for 04/05/2023 from all calendars

Algebra and Combinatorics Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Yuri Bahturin, Memorial University of Newfoundland

Title: From groups to algebras and back

Abstract: We analyze and extend the classical Malcev correspondence between the divisible torsion-free nilpotent groups and rational nilpotent Lie algebras. The new setting is arbitrary finite-dimensional nilpotent algebras. We prove the implicit function theorem for the polynomial functions on such algebras. This allows us to produce various correspondences between these algebras and (quasi)groups, each built on the same underlying set. Applications are provided for the commensurators of nilpotent groups, filiform Lie algebras and partially ordered algebras. (joint work with Alexander Olshanskii)