On cohomology of nilpotent Lie algebras
演讲者
Grisha Papayanov
时间
2024年10月31日 13:30 至 15:00
地点
A3-2a-302
线上
Zoom 482 240 1589
(BIMSA)
摘要
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.