On the infinite-dimensional hidden symmetries. III. $q_R$-conformal symmetries at $q_R\to\infty$ and Berezin-Karasev-Maslov asymptotic quantization of $C^\infty(S^1)$

Details On the infinite-dimensional hidden symmetries. III. $q_R$-conformal symmetries at $q_R\to\infty$ and Berezin-Karasev-Maslov asymptotic quantization of $C^\infty(S^1)$ On the infinite-dimensional hidden symmetries. III. $q_R$-conformal symmetries at $q_R\to\infty$ and Berezin-Karasev-Maslov asymptotic quantization of $C^\infty(S^1)$

1997-02-02

arxiv.org/abs/funct-an/9702002v3

Mathematics

Differential Geometry

minor comments are inserted into the revised version; Part I:funct-an/9612004, II:funct-an/9701009

Scientific paper

The relations between the infinite dimensional geometry of $q_R$-conformal
symmetries at $q_R\to\infty$, Berezin quantization of the Lobachevskii plane
and Karasev-Maslov asymptotic quantization are explicated. Some aspects of the
``approximate'' representation theory are discussed.

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