The Bogomolov multiplier of Lie algebras

Authors : Zeinab ARAGHİ ROSTANİ, Mohsen PARVİZİ, Peyman NİROOMAND

Pages : 1190-1205

Doi:10.15672/hujms.455076

View : 17 | Download : 5

Publication Date : 2020-06-02

Article Type : Research Paper

Abstract :In this paper, we extend the notion of the Bogomolov multipliers and the CP-extensions to Lie algebras. Then, we compute the Bogomolov multipliers for Abelian, Heisenberg and nilpotent Lie algebras of class at most 6. Finally, we compute the Bogomolov multipliers of complex simple and semisimple Lie algebras.
Keywords : Commutativity Preserving exterior product, ilde B 0 pairing, Curly exterior product, Bogomolov multiplier, Heisenberg Algebra