Title : ( The Bogomolov multiplier of Lie algebras )
Authors: zeinab araghirostami , Mohsen Parvizi , Peyman Niroomand ,
Full TextAbstract
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 some simple complex Lie algebras.
Keywords
, Commutativity-Preserving exterior product, ̃B0-pairing, Curly exterior product, Bogomolov multiplier, Heisenberg algebra.
@article{paperid:1077776,
author = {Araghirostami, Zeinab and Parvizi, Mohsen and پیمان نیرومند},
title = {The Bogomolov multiplier of Lie algebras},
journal = {Hacettepe Journal of Mathematics and Statistics},
year = {2020},
volume = {49},
number = {3},
month = {June},
issn = {1303-5010},
pages = {1190--1205},
numpages = {15},
keywords = {Commutativity-Preserving exterior product; ̃B0-pairing; Curly exterior product; Bogomolov multiplier; Heisenberg algebra.},
}
%0 Journal Article
%T The Bogomolov multiplier of Lie algebras
%A Araghirostami, Zeinab
%A Parvizi, Mohsen
%A پیمان نیرومند
%J Hacettepe Journal of Mathematics and Statistics
%@ 1303-5010
%D 2020
