Degenerations of Jordan Algebras and “Marginal” Algebras
نویسندگان
چکیده
We describe all degenerations of the variety $\mathfrak{Jord}_3$ Jordan algebras dimension three over $\mathbb{C}.$ In particular, we irreducible components in $\mathfrak{Jord}_3.$ For every $n$ define an $n$-dimensional rigid ''marginal'' algebra level one. Also, discuss associative, alternative, left non-commutative Jordan, Leibniz, and anticommutative cases.
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ژورنال
عنوان ژورنال: Algebra Colloquium
سال: 2021
ISSN: ['0219-1733', '1005-3867']
DOI: https://doi.org/10.1142/s1005386721000225