Stabilizer of a function in the gage group |
| |
Authors: | V K Beloshapka |
| |
Institution: | 1.Department of Mechanics and Mathematics,Moscow State University, Leninskie gory,Moscow,Russia |
| |
Abstract: | It is proved that, for the dimension d of the stabilizer of an analytic function z(x, y) in the gage pseudogroup G = {z(x, y) → c(z(a(x), b(y))}, there are precisely four possibilities: (1) d = ∞ and the complexity of z is zero, (2) d = 3 and the complexity of z is equal to one, (3) d = 1 and z is equivalent the function r(x + y) ? x of complexity two, (4) d = 0 in all remaining cases. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|