Abstract

Let M6(K,*) be the 6 × 6 matrix algebra with symplectic involution over a field K of characteristic 0. We consider *-polynomial identities in symmetric to the involution matrices and prove that their minimal degree in M6(K,*) is 9. For special *-polynomials we make the conjecture that their minimal degree in M2n(K,*) for n ≥ 2 is 4n.

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