Quadratic conformal superalgebras
Xiaoping Xu
TL;DR
This paper classifies quadratic conformal superalgebras through compatible pairs of Lie and Novikov superalgebras, providing new constructions and classifications related to simple Novikov algebras.
Contribution
It introduces a classification framework for quadratic conformal superalgebras based on compatible Lie and Novikov superalgebra pairs, including new constructions and classifications.
Findings
Four general constructions of compatible pairs are provided
Classification of pairs related to simple Novikov algebras
Framework for understanding quadratic conformal superalgebras
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons