The Bogomolov multiplier of Lie algebras

The Bogomolov multiplier of Lie algebras

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.

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Veröffentlicht in:arXiv.org 2018-05
Hauptverfasser: Zeinab Araghi Rostami, Parvizi, Mohsen, Niroomand, Peyman
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Mathematics - Commutative Algebra
Mathematics - Rings and Algebras
Multipliers
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.05806