Affine Lie superalgebras
\textit{J. W. van de Leur} [Contragredient Lie superalgebras of finite growth. Utrecht University (PhD Thesis) (1986)] 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 \(G\). Since then, a huge field of interesting applications of affine Lie (super)algebras has emerged and became very important to understand how far a Lie (super)algebra is to be an affine Lie (super)algebra. In this regard, the authors determine affine Lie superalgebras axiomatically.
scientific article; zbMATH DE number 7290704
scientific article