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Group theory approach to the $\tau$-function and its quantization

A. D. Mironov

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Abstract: This is a review of generalizations of the $\tau$-function and integrable hierarchies and of their group theory interpretations, which admits an immediate quantization procedure. Different group theory structures related to the integrable system, as well as their quantum deformations, are discussed.

Received: 13.10.1997

DOI: 10.4213/tmf836

 English version: Theoretical and Mathematical Physics, 1998, 114:2, 127–183

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