On block partial linearizations of the pfaffian

Details On block partial linearizations of the pfaffian On block partial linearizations of the pfaffian

2006-08-30

arxiv.org/abs/math/0608747v3

Linear Algebra Appl. 426/1 (2007), 109-129

Mathematics

Rings and Algebras

27 pages; v3. Now numeration of statements in this preprint is the same as in the corresponding paper

Scientific paper

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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