Quadratic Leibniz conformal algebras-Reference-Cited by-同舟云学术

Quadratic Leibniz conformal algebras

Published:2019-08-06 Issue:10 Volume:18 Page:1950195
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Zhou Jinsen¹,Hong Yanyong²

Affiliation:

1. School of Information Engineering, Longyan University, Longyan 364012, Fujian, P. R. China

2. Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, Zhejiang, P. R. China

Abstract

In this paper, we study a class of Leibniz conformal algebras called quadratic Leibniz conformal algebras. An equivalent characterization of a Leibniz conformal algebra [Formula: see text] through three algebraic operations on [Formula: see text] is given. By this characterization, several constructions of quadratic Leibniz conformal algebras are presented. Moreover, one-dimensional central extensions of quadratic Leibniz conformal algebras are considered using some bilinear forms on [Formula: see text]. In particular, we also study one-dimensional Leibniz central extensions of quadratic Lie conformal algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498819501950

Reference23 articles.

1. Theory of Finite Pseudoalgebras

2. Poisson vertex algebras in the theory of Hamiltonian equations

3. Cohomology of Conformal Algebras

4. The classification of Novikov algebras in low dimensions

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