- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 3
- The Bogomolov multiplier of Lie algebras
The Bogomolov multiplier of Lie algebras
Authors : Zeinab Araghi Rostani, Mohsen Parvizi, Peyman Niroomand
Pages : 1190-1205
Doi:10.15672/hujms.455076
View : 11 | Download : 5
Publication Date : 2020-06-02
Article Type : Research
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