Simple Conformal Algebras Generated by Jordan Algebras
Xiaoping Xu
TL;DR
This paper introduces three new families of simple conformal algebras with finite growth, generated by simple Jordan algebras of types A, B, and C, expanding the understanding of conformal algebra structures.
Contribution
It presents the construction of three new families of simple conformal algebras generated by simple Jordan algebras, which is a novel contribution to the field.
Findings
Three families of simple conformal algebras are constructed.
These algebras are of finite growth.
They are generated by simple Jordan algebras of types A, B, C.
Abstract
In this article, we first give a short introduction to conformal algebras. Then we present three families of simple conformal algebras finite growth generated by simple Jordan algebras of types A, B, C.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons