q-Area Preserving Algebras SDiff(Tk) and the Matrix Algebra $\bar a_{\infty}$
1997 ◽
Vol 12
(12)
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pp. 821-825
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We consider the infinite matrix Lie algebra [Formula: see text] and an infinite set of its subalgebras parametrized by an Nth root of the unity; qN=1. We obtain the embedding in [Formula: see text] 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 Tk, k>2 and the algebra [Formula: see text] is pointed out.
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2002 ◽
Vol 30
(12)
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pp. 5849-5860
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1962 ◽
Vol 14
◽
pp. 553-564
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