Abstract:
We mainly study the isomorphism, isomorphism group, homomorphism, center and normalizer of some special Lie subalgebras
h1,
h2,
h4,
h5 and
h10 of extended infinite dimensional Lie algebras Schrodinger-Virasoro. Firstly, we construct the isomorphism of Lie subalgebra
h1, and obtain that its isomorphism group is isomorphic to integer plus group. At the same time, we construct and prove that the Lie subalgebras
h4 to
h5 are isomorphic, and the isomorphism group is isomorphic to non-zero complex group
\bfC^*
. Finally, it is proved that the center
C (
h10) = 0.