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Bibliographic Details
Main Authors: Sorkatti, Layla, Uğurlu, Özlem, Varahagiri, Manisha
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2311.11987
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Table of Contents:
  • The structure of nilpotent symplectic algebras of maximal class has been studied in [8, 5]. In this paper, we study the dual subclass of algebras of minimal class. In particular, we show that symplectic alternating algebras of dimension up to $16$ that are minimal, in the sense that they are of rank $2$ with minimum nilpotency class, have a class that confirm a conjecture that has been raised in [3].