Bernstein algebras and quantum Mutation

  1. González, Santos
  2. Laliena Clemente, Jesús Antonio
Libro:
Proceedings of the Fifth International Conference on Handronic Mechanics and nonpotential Interactions

Editorial: NOVA SCIENCE PUBLISHERS, INC.

ISBN:

Año de publicación: 1994

Páginas: 518-520

Tipo: Capítulo de Libro

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Resumen

Let A be a Bernstein algebra. Taking r,s∈A, the authors change the multiplication of A in two ways: a×b=2(ar)b−2(bs)a−r(ab)+s(ba), a∗b=(ar)b−(bs)a, and call the new algebras mutations. They obtain conditions for the mutations to be Lie admissible, Jordan admissible or Bernstein algebras.