$τ$-function within group theory approach and its quantization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 61 pages, no figures (list of references is corrected)

Scientific paper

This is a review of the results related to generalizations of the notion of
$\tau$-function and integrable hierarchies and to their interpretation within
the group theory framework that admits an immediate quantization procedure.
Different group theory structures underlying integrable system are discussed in
detail as well as their quantum deformations.

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