Two Kinds of Infinite-Dimensional Novikov Algebras and Their Sub-adjacent Lie Algebras-Reference-Cited by-同舟云学术

Two Kinds of Infinite-Dimensional Novikov Algebras and Their Sub-adjacent Lie Algebras

Published:2019-08-12 Issue:03 Volume:26 Page:495-506
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Zhou Xin¹²,Chen Liangyun¹,Sun Bing³

Affiliation:

1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

2. School of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang 835000, China

3. College of Mathematics, Changchun Normal University, Changchun 130032, China

Abstract

In this paper, we construct two kinds of infinite-dimensional Novikov algebras and give their realizations, respectively. As an application, we describe their sub-adjacent Lie algebras and characterize some of their properties.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386719000361

Reference14 articles.

1. The realization of non-transitive Novikov algebras

2. A Lie algebraic approach to Novikov algebras

3. On the Novikov algebra structures adapted to the automorphism structure of a Lie group

4. On torsion-free abelian groups and Lie algebras

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