Classification of three-dimensional zeropotent algebras over the real number field

DOI10.1080/00927872.2018.1448852zbMath1414.17002OpenAlexW2796229872MaRDI QIDQ4689805

Sin-Ei Takahasi, Makoto Tsukada, Kiyoshi Shirayanagi, Yuji Kobayashi

Publication date: 22 October 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/265712

zbMATH Keywords

nonassociative algebrasreal Lie algebrasanticommutative algebrasreal zeropotent algebrasthe Bianchi classification

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Nonassociative algebras satisfying other identities (17A30) Other nonassociative rings and algebras (17D99)

Related Items

Unnamed Item, A complete classification of three-dimensional algebras over ℝ and ℂ — 温故知新 (visiting old, learn new), Three-dimensional zeropotent algebras over an algebraically closed field of characteristic two, Classification of a family of 4-dimensional anti-commutative algebras and their automorphisms

Cites Work

• Classification of three-dimensional zeropotent algebras over an algebraically closed field
• Unnamed Item