An elementary proof of demushkin theorem on tori in hamiltonian lie _p-algebras

Abstract

For torus T in Hamiltonian Lie p-algebra H _2m it is been proved that there exists the system of eigenfunctions such that the standard Hamiltonian form w may be written as From this Demushkin theorem on conjugate classes of maximal tori in H _2m follows.

¹1The authours gratefully acknowledge support from Russian Foundationof Basic Research Grant 96-01-01756.

¹1The authours gratefully acknowledge support from Russian Foundationof Basic Research Grant 96-01-01756.

Notes

¹1The authours gratefully acknowledge support from Russian Foundationof Basic Research Grant 96-01-01756.