The Looijenga-Lunts-Verbitsky algebra and Verbitsky's Theorem
arXiv:2110.00419
Abstract
In these notes we review some basic facts about the LLV Lie algebra. It is a rational Lie algebra, introduced by Looijenga-Lunts and Verbitsky, acting on the rational cohomology of a compact Kähler manifold. We study its structure and describe one irreducible component of the rational cohomology in the case of a compact hyperkähler manifold.
This review was prepared in the context of the seminar organized by the ERC Synergy Grant HyperK