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.
Commutativity-Preserving exterior product ${\tilde{B_0}}$-pairing Curly exterior product Bogomolov multiplier Heisenberg Algebra
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Mathematics |
Authors | |
Publication Date | June 2, 2020 |
Published in Issue | Year 2020 Volume: 49 Issue: 3 |