The natural filtrations of the general algebra \(\overline W \) and the special algebra \(\overline S \) of formal vectorfields are proved to be invariant. Furthermore, the automorphism groups of \(\overline W \) and ...The natural filtrations of the general algebra \(\overline W \) and the special algebra \(\overline S \) of formal vectorfields are proved to be invariant. Furthermore, the automorphism groups of \(\overline W \) and \(\overline S \) are proved to be isomorphic to the corresponding admissible automorphism groups of the base superalgebra U. Then the automorphisms of \(\overline W \) or \(\overline S \) can be induced by the continue automorphisms of U.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant No.10271076)and MPEM of China.
文摘The natural filtrations of the general algebra \(\overline W \) and the special algebra \(\overline S \) of formal vectorfields are proved to be invariant. Furthermore, the automorphism groups of \(\overline W \) and \(\overline S \) are proved to be isomorphic to the corresponding admissible automorphism groups of the base superalgebra U. Then the automorphisms of \(\overline W \) or \(\overline S \) can be induced by the continue automorphisms of U.
