Generalizations of the Block algebras

1999/11/27 by Xiaoping Xu, Xu, Xiaoping · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Quantum Algebra (math.QA) #Rings, Modules, and Algebras #math.QA

paper · pdf · doi:10.48550/arxiv.math/9911222

31pages, Latex; To appear in Manuscripta Mathematica

arxiv created 1999/11/27 · openalex publication_date 1999/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce two new families of infinite-dimensional simple Lie algebras and a new family of infinite-dimensional simple Lie superalgebras. These algebras can be viewed as generalizations of the Block algebras.

Citations

• Quadratic conformal superalgebras

Cited by

• Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

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