4.4 Article

The derivations of some evolution algebras

Journal

LINEAR & MULTILINEAR ALGEBRA
Volume 61, Issue 3, Pages 309-322

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/03081087.2012.678342

Keywords

evolution algebra; rank of matrix; derivation

Categories

Funding

  1. PAICYT
  2. Junta de Andalucia (Spain) [FQM143]
  3. NATO [CBP.EAP.RIG. 983169]
  4. ICTP [OEA-AC-84]

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In this work, we investigate the derivations of n-dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices of rank n - 1 are described.

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