Embedding of \(\mathfrak{sl}_2(\mathbb{C})\)-modules into four-dimensional power-associative zero-algebra modules

DOI10.1007/s00574-021-00261-wzbMath1500.17001OpenAlexW3165338323MaRDI QIDQ2115190

Elkin Oveimar Quintero Vanegas

Publication date: 15 March 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-021-00261-w

zbMATH Keywords

embeddingirreducible modulespower-associative algebras\(\mathfrak{sl}_2\)-modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for nonassociative algebras (17A60) Power-associative rings (17A05)

Cites Work

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• Nilpotent linear spaces and Albert's problem
• On the solvability of the commutative power-associative nilalgebras of dimension 6.
• Power associative nilalgebras of dimension 9
• Polarization algebras and their relations
• Commutative power-associative nilalgebras of nilindex 5
• Commutative Power-Associative Algebras of Nilindex Four
• On Commutative Power-Associative Nilalgebras
• On Commutative Power-Associative Nilalgebras of Low Dimension
• Power-associative rings
• On the solvability of the five-dimensional commutative power-associative nilalgebras

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