Bernstein algebras and quantum Mutation

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

Publisher: NOVA SCIENCE PUBLISHERS, INC.

ISBN:

Year of publication: 1994

Pages: 518-520

Type: Book chapter

GOOGLE SCHOLAR

Abstract

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.