On block partial linearizations of the pfaffian |
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Authors: | AA Lopatin |
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Institution: | Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Pevtsova Street, 13, Omsk 644099, Russia |
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Abstract: | 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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Keywords: | 15A15 |
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