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- Title
A bound for the class of nilpotent symplectic alternating algebras.
- Authors
Sorkatti, Layla
- Abstract
We continue developing the theory of nilpotent symplectic alternating algebras. The algebras of upper bound nilpotent class, that we call maximal algebras, have been introduced and well studied. In this paper, we continue with the external case problem of algebras of minimal nilpotent class. We show the existence of a subclass of algebras over a field F that is of certain lower bound class that depends on the dimension only. This suggests a minimal bound for the class of nilpotent algebras of dimension 2 n ≥ 8 of rank 2 over any field.
- Subjects
ALGEBRA; NONASSOCIATIVE algebras; LIE algebras
- Publication
International Journal of Algebra & Computation, 2022, Vol 32, Issue 1, p67
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196722500035