$\mathbb{Z}$-graded Lie superalgebras of infinite depth and finite growth

Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 1 (3):545-568 (2002)
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Abstract

In 1998 Victor Kac classified infinite-dimensional $\mathbb{Z}$-graded Lie superalgebras of finite depth. We construct new examples of infinite-dimensional Lie superalgebras with a $\mathbb{Z}$-gradation of infinite depth and finite growth and classify $\mathbb{Z}$-graded Lie superalgebras of infinite depth and finite growth under suitable hypotheses

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