Quadratic conformal superalgebras

1999/11/27 by Xiaoping Xu, Xu, Xiaoping · 5 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math/9911219

36pages, Latex; Preprint was circulated in a certain mathematical community in April 1998

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 shall classify ``quadratic'' conformal superalgebras by certain compatible pairs of a Lie superalgebra and a Novikov superalgebra.Four general constructions of such pairs are given. Moreover, we shall classify such pairs related to simple Novikov algebras.

Cited by

• On the structure of finite Novikov conformal algebras
• Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras
• ϕ_ε-coordinated modules for vertex algebras
• Generalizations of the Block algebras
• Infinite-dimensional pre-Lie bialgebras via affinization of pre-Novikov bialgebras

Related

• Simple Jordan conformal superalgebras
• Simplicity of quadratic Lie conformal algebras
• Quasi-triangular Novikov bialgebras and related bialgebra structures
• On quadratic Novikov algebras
• The construction and deformation of Hom-Novikov superalgebras