Specht property for the 2-graded identities of the Jordan algebra of a bilinear form

摘要

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 x V -> K. The Jordan algebra B-m = K circle plus V of the form f is a Z(2)-graded algebra with. this decomposition. We prove that the ideal of all the Z(2)-graded identities of B-m satisfies the Specht property and we compute the Z(2)-graded cocharacter sequence of B-m.