A new class of Z-graded Lie conformal algebras of infinite rank

2014/11/29 by Guangzhe Fan, Fan, Guangzhe, Qiufan Chen +3 · 1 citation
Mathematics · Physics and Astronomy · #17B68 #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1412.0074

openalex publication_date 2014/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a new class of \Z-graded Lie conformal algebras \CW(a,c) of infinite rank is constructed. The conformal derivations and one-dimensional central extensions of \CW(a,c) are completely determined. And all conformal modules of rank one over \CW(a,c) (a≠0) are proved to be trivial and all such nontrivial (irreducible) modules over \CW(0,c) are classified.

Citations

• The Lie conformal algebra of a Block type Lie algebra

Cited by

• Simplicity of quadratic Lie conformal algebras

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