Degenerations of Jordan Algebras and"Marginal"Algebras

• 作者: Ilya Gorshkov Ivan Kaygorodov Yury Popov
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 281-294
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386721000225

摘要

We describe all degenerations of the variety(3)ot?3 of Jordan algebras of di-mension three over C.In particular,we describe all irreducible components in(3)ot?3.For every n we define an n-dimensional rigid"marginal"Jordan algebra of level one.Moreover,we discuss marginal algebras in associative,alternative,left alternative,non-commutative Jordan,Leibniz and anticommutative cases.