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

A. D. Mironov

A. D. Mironov

Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 163-232 Cet article a éte moissonné depuis la source Math-Net.Ru

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Résumé

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.

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@article{TMF_1998_114_2_a0,
     author = {A. D. Mironov},
     title = {Group theory approach to the $\tau$-function and its quantization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {163--232},
     year = {1998},
     volume = {114},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a0/}
}

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A. D. Mironov. Group theory approach to the $\tau$-function and its quantization. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 163-232. http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a0/

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