Specht property for the 2-graded identities of B_m

2016/01/13 by Diniz, Diogo, Souza, Manuela da Silva
#15A72 #17C05 #17C20 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1601.03351

Abstract

Let K be a field of characteristic zero and V a vector space of dimension m>1 with a nondegenerate symmetric bilinear form f:V× V → K. The Jordan algebra B_m=K⊕ V of the form f is a superalgebra with this decomposition. We prove that the ideal of all the 2-graded identities of B_m satisfies the Specht property and we compute the 2-graded cocharacter sequence of B_m.

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