2 6 Fe b 20 09 On block partial linearizations of the pfaffian . A . A

نویسنده

  • A. A. LOPATIN
چکیده

Amitsur's formula, which expresses det(A + B) as a polynomial in coefficients of the characteristic polynomial of a matrix, is generalized for partial linearizations of the pfaffian of block matrices. As applications, in upcoming papers we determine generators for the SO(n)-invariants of several matrices and relations for the O(n)-invariants of several matrices over a field of arbitrary characteristic.

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A ug 2 00 6 On block partial linearizations of the pfaffian . A . A

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تاریخ انتشار 2009