Q-area preserving algebras and the matrix algebra (alpha)-bar(sub (infinity))

摘要

We consider the infinite matrix Lie algebra (alpha)-bar(sub (infinity)) and an infinite set of its subalgebras parametrized by a N-th root of the unity; q(sup N) = 1. We obtain the embedding in (alpha)-bar(sub (infinity)) of the area preserving diffeomorphism on the 2-d torus and also its one parameter deformed version. The correspondence between the area preserving diffeomorphism on the torus T(sup k), k > 2 and the algebra (alpha)-bar(sub (infinity)) is pointed out. (author). 12 refs. (Atomindex citation 26:070348)