Polynomial identities for the Jordan algebra of a degenerate symmetric bilinear form

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Abstract

Let J(n) be the Jordan algebra of a degenerate symmetric bilinear form. In the first section we classify all possible G-gradings on J(n) where G is any group, while in the second part we restrict our attention to a degenerate symmetric bilinear form of rank n - 1, where n is the dimension of the vector space V defining J(n). We prove that in this case the algebra J(n) is PI-equivalent to the Jordan algebra of a nondegenerate bilinear form.
Lingua originaleEnglish
pagine (da-a)4080-4089
Numero di pagine10
RivistaLinear Algebra and Its Applications
Volume439
Stato di pubblicazionePublished - 2013

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2612???
  • ???subjectarea.asjc.2600.2608???
  • ???subjectarea.asjc.2600.2607???

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