On lie algebras associated with nodal noncommutative Jordan algebras
Copyright policy )On lie algebras associated with nodal noncommutative Jordan algebras
The Lie algebra \(A^-_ n\) associated with a simple Lie-admissible nodal noncommutative Jordan algebra \(A_ n\) over a field of characteristic \(p>2\) is studied. It is shown that either \(A^-_ n/\) or its derived algebra is simple of generalized Cartan type H(2r). Results concerning the minimum dimension of the images of the nonzero inner derivations are used to determine structural properties of \(A^- _ n/\).
- East China Normal University China (People's Republic of)
Modular Lie (super)algebras, Lie-admissible algebras, Noncommutative Jordan algebras, inner derivations, simple Lie-admissible nodal noncommutative Jordan algebra, generalized Cartan type
Modular Lie (super)algebras, Lie-admissible algebras, Noncommutative Jordan algebras, inner derivations, simple Lie-admissible nodal noncommutative Jordan algebra, generalized Cartan type
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