Novikov-Jordan algebras

A. S. Dzhumadil'daev

Novikov-Jordan algebras

Rings and Algebras 2007-05-23 v2 Mathematical Physics math.MP Quantum Algebra

Authors: A. S. Dzhumadil'daev

Abstract

Algebras with identity $(a\star b)\star (c\star d) -(a\star d)\star(c\star b)$ $=(a,b,c)\star d-(a,d,c)\star b$ are studied. Novikov algebras under Jordan multiplication and Leibniz dual algebras satisfy this identity. If algebra with such identity has unit, then it is associative and commutative.

Keywords

jordan algebra associative algebras algebra classification and gradings

Cite

@article{arxiv.math/0202044,
  title  = {Novikov-Jordan algebras},
  author = {A. S. Dzhumadil'daev},
  journal= {arXiv preprint arXiv:math/0202044},
  year   = {2007}
}

Comments

30 pages, LaTeX

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