ON THE *-POLYNOMIAL IDENTITIES OF A CLASS OF *-MINIMAL ALGEBRAS

Let F be an infinite field. We consider certain block-triangular algebras with involution U-n, with n is an element of N, having minimal *-exponent. We describe their *-polynomial identities, and in case char.F = 0, their structure as a T-*-ideal under the action of general linear groups. These goals are achieved by means of Y-proper polynomials. We also compute explicitly the irreducible modules occurring in the decomposition of B-Y(U-3) and their multiplicities.