The universal enveloping TRO of a JB*-triple system
Dennis Bohle, Wend Werner
TL;DR
This paper introduces a universal enveloping TRO for JB*-triple systems, explores its properties, and computes it for finite-dimensional Cartan factors, advancing the understanding of their algebraic structure.
Contribution
It defines the universal enveloping TRO for JB*-triple systems and analyzes its properties, including explicit computations for finite-dimensional cases.
Findings
Universal enveloping TROs exist for JB*-triple systems.
Functorial properties of the correspondence are established.
Explicit computations for finite-dimensional Cartan factors are provided.
Abstract
We associate to every JB*-triple system a so-called universal enveloping TRO and show some functorial properties of this correspondence. We compute the universal enveloping TROs of the finite dimensional Cartan factors.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry