A moment map for the variety of Jordan algebras
Claudio Gorodski, Iryna Kashuba, Mar\'ia Eugenia Martin
TL;DR
This paper explores the structure of complex n-dimensional Jordan algebras through geometric invariant theory, providing new insights into their classification and properties.
Contribution
It introduces a moment map framework for analyzing the variety of Jordan algebras, offering a novel approach to their geometric and algebraic study.
Findings
Development of a moment map for Jordan algebra varieties
Classification results for low-dimensional Jordan algebras
Insights into the geometric structure of the variety
Abstract
We study the variety of complex -dimensional Jordan algebras using techniques from Geometric Invariant Theory.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models