Degenerations of nilpotent associative commutative algebras

Abstract

We give a complete description of degenerations of complex $5$-dimensional nilpotent associative commutative algebras.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1905.05361, arXiv:1808.00907, arXiv:1611.06454, arXiv:1707.08836; text overlap with arXiv:1906.02189

References in corpus (12)

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Cited by in corpus (7)

• The algebraic and geometric classification of nilpotent bicommutative algebras
• The algebraic and geometric classification of nilpotent noncommutative Jordan algebras
• Degenerations of Filippov algebras
• The algebraic and geometric classification of nilpotent right alternative algebras
• The geometric classification of nilpotent $\mathfrak{CD}$-algebras
• The geometric classification of nilpotent commutative $\mathfrak{CD}$-algebras
• The geometric classification of $2$-step nilpotent algebras and applications