On cohomology of nilpotent Lie algebras
Organizers
Speaker
Grisha Papayanov
Time
Thursday, October 31, 2024 1:30 PM - 3:00 PM
Venue
A3-2a-302
Online
Zoom 482 240 1589
(BIMSA)
Abstract
I want to prove that cohomology of a finite dimensional Lie algebra g is generated, as an A-infinity algebra, by H^1(g). As an application, we'll show a nilpotent version of the PBW theorem - the associated graded of Ug with respect to the augmentation ideal filtration is isomorphic to Sg, the symmetric algebra. The talk is based on a note arxiv: 2303.09439.