A new characterization of Kac–Moody–Malcev superalgebras-Reference-Cited by-同舟云学术

A new characterization of Kac–Moody–Malcev superalgebras

Published:2016-07-26 Issue:08 Volume:16 Page:1750144
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Azam S.¹²

Affiliation:

1. Department of Mathematics, University of Isfahan, P. O. Box: 81745-163, Isfahan, Iran

2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box: 19395-5746, Tehran, Iran

Abstract

In the past two decades there has been great attention to Lie (super)algebras, which are extensions of affine Kac–Moody Lie (super)algebras, in certain typical or axiomatic approaches. These Lie (super)algebras have been mostly studied under variations of the name “extended affine Lie (super)algebras”. We show that certain classes of Malcev (super)algebras also can be put in this framework. This in particular allows us to provide new examples of Malcev (super)algebras which extend the known Kac–Moody Malcev (super)algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817501444

Reference24 articles.

1. Quadratic Lie superalgebras with a reductive even part

2. Quadratic Malcev superalgebras

3. A Characterization of Affine Kac-Moody Lie Algebras

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An overview of generalised Kac-Moody algebras on compact real manifolds;Journal of Geometry and Physics;2022-10

2. The trascendence of Kac-Moody algebras;Filomat;2021