Identities with involution for the matrix algebra of order two in characteristic p
نویسندگان
چکیده
LetM2(K) be the matrix algebra of order two over an in nite eld K of characteristic p 6= 2. If K is algebraically closed then, up to isomorphism, there are two involutions of rst kind on M2(K), namely the transpose and the symplectic. Even ifK is not algebraically closed, studying -identities it is su cient to consider only these two involutions. We describe bases of the polynomial identities with involution in each of these cases. 2000 AMS MSC: Primary 16R50; Secondary 16R30, 17B01, 16R10
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تاریخ انتشار 2006