Degenerations of nilpotent associative commutative algebras
Ivan KaygorodovCMCC, Universidade Federal do ABC, Santo André, Brasil;Samuel A. LopesCMUP, Faculdade de Ciências, Universidade do Porto, Porto, Portugal;Yury PopovIMECC, Universidade Estadual de Campinas, Campinas, Brasil
2019en
ABI
Abstract
We give a complete description of degenerations of complex 5-dimensional nilpotent associative commutative algebras. As corollary, we have the description of all rigid algebras in the variety of 5-dimensional commutative Leibniz algebras.
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