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

Abstract

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.