On a new relation between semisimple Lie algebras
- 1 September 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (9) , 2335-2341
- https://doi.org/10.1063/1.524689
Abstract
A recently discovered relation between pairs of semisimple Lie algebras is further investigated. This relation, which is called subjoining and denoted by ’’≳’’, is a generalization of inclusion, where a subalgebra is embedded in an algebra. Nontrivial subjoinings of two algebras of the same type are described. New chains of algebras involving proper inclusions and subjoinings can be formed. Infinite families of maximal subjoinings Cn≳Bn and Bn≳Cn are shown.Keywords
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