학술저널
POISSON BRACKETS DETERMINED BY JACOBIANS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 2
-
2013.05357 - 365 (9 pages)
- 2
Fix n ¡ 2 elements h1; ¢ ¢ ¢ ; hn¡2 of the quotient ¯eld B of the polynomial algebra C[x1; x2; ¢ ¢ ¢ ; xn]. It is proved that B is a Poisson algebra with Poisson bracket de¯ned by ff; gg =det(Jac(f; g; h1; ¢ ¢ ¢ ; hn¡2)) for any f; g 2 B, where det(Jac) is the determinant of a Jacobian matrix.
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