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Affine Lie superalgebras
Journal of Algebra ( IF 0.8 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jalgebra.2020.10.039
Abbas Darehgazani , Fateme Shirnejad , Malihe Yousofzadeh

Abstract In 1986, Van de Leur introduced and classified affine Lie superalgebras. An affine Lie superalgebra is defined as the quotient of certain Lie superalgebra G defined by generators and relations, corresponding to a symmetrizable generalized Cartan matrix, over the so-called radical of G . Because of the interesting applications of affine Lie (super)algebras in combinatorics, number theory and physics, it is very important to recognize how far a Lie (super)algebra is to be an affine Lie (super)algebra. In this regard, we determine affine Lie superalgebras axiomatically.

中文翻译:

仿射李超代数

摘要 1986 年,Van de Leur 引入并分类了仿射李超代数。仿射李超代数定义为由生成元和关系定义的特定李超代数 G 的商,对应于可对称广义 Cartan 矩阵,在 G 的所谓根上。由于仿射李(超)代数在组合数学、数论和物理学中的有趣应用,认识到李(超)代数在多大程度上成为仿射李(超)代数非常重要。在这方面,我们公理地确定仿射李超代数。
更新日期:2021-03-01
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