Abstract
An axiomatic approach to the approximation of infinite dimensional algebras is presented; examples illustrating the need for a rigorous treatment of this subject. Geometric quantization is employed to construct systematicallysu(N) approximations of diffeomorphism algebras which first appeared in the theory of relativistic membranes.
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Communicated by N. Yu. Reshetikhin
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Bordemann, M., Hoppe, J., Schaller, P. et al. gl(∞) and geometric quantization. Commun.Math. Phys. 138, 209–244 (1991). https://doi.org/10.1007/BF02099490
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DOI: https://doi.org/10.1007/BF02099490