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The algebraic classification of nilpotent algebras

Kaygorodov, ICentro de Matemática e Aplicaçǒes, Universidade da Beira Interior, Covilhã, PortugalKhrypchenko, MDepartamento de Matemática, Universidade Federal de Santa Catarina, Florianópolis, BrazilSamuel A. LopesCMUP, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal
2022en
ABI

Abstract

We give the complete algebraic classification of all complex 4-dimensional nilpotent algebras. The final list has 234 (parametric families of) isomorphism classes of algebras, 66 of which are new in the literature.

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Citations and references

Cited by 40 references