Representation of general invariants for approximate transformation groups

[摘要] Invariants of approximate transformation groups are studied. It turns out that the infinitesimal criterion for them is similar to that of Lie's theory. Namely, the problem of invariants of approximate groups reduces to solving first-order partial differential equations with a small parameter. The problems of solvability, number of independent invariants, and a representation of general approximate invariants are discussed. (C) 1997 Academic Press.

[发布日期] 1997-09-01