Conformal Lie 2-algebras and conformal omni-Lie algebras
Tao Zhang

TL;DR
This paper introduces conformal Lie 2-algebras and conformal omni-Lie algebras, establishing their categorical equivalence and constructing examples from related algebraic structures.
Contribution
It defines new conformal algebraic structures and proves their categorical equivalence, expanding the theoretical framework of conformal algebra theory.
Findings
Category of conformal Lie 2-algebras is equivalent to 2-term conformal L-infinity algebras
Constructs conformal Lie 2-algebras from omni-Lie and Leibniz conformal algebras
Establishes foundational properties of conformal Lie 2-algebras
Abstract
The notions of conformal Lie 2-algebras and conformal omni-Lie algebras are introduced and studied. It is proved that the category of conformal Lie 2-algebras and the category of 2-term conformal -algebras are equivalent. We construct conformal Lie 2-algebras from conformal omni-Lie algebras and Leibniz conformal algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models
