TY - JOUR
T1 - A scalar expression for matrices with symplectic involution
AU - Rowen, Louis Halle
PY - 1978/4
Y1 - 1978/4
N2 - Various algebraic reductions are made to facilitate computer verification of the following result: If x and y are 8X8 matrices such that [x, y] is regular, tr(x) = 0, and, with respect to the canonical symplectic involution, x is symmetric and y is antisymmetric, then the element (x + [x, y[x[x, y]-1)2 satisfies a minimal equation of degree ≤2.
AB - Various algebraic reductions are made to facilitate computer verification of the following result: If x and y are 8X8 matrices such that [x, y] is regular, tr(x) = 0, and, with respect to the canonical symplectic involution, x is symmetric and y is antisymmetric, then the element (x + [x, y[x[x, y]-1)2 satisfies a minimal equation of degree ≤2.
UR - http://www.scopus.com/inward/record.url?scp=84966254701&partnerID=8YFLogxK
U2 - 10.1090/S0025-5718-1978-0480620-5
DO - 10.1090/S0025-5718-1978-0480620-5
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AN - SCOPUS:84966254701
SN - 0025-5718
VL - 32
SP - 607
EP - 613
JO - Mathematics of Computation
JF - Mathematics of Computation
IS - 142
ER -