Calogero-Moser spaces and an adelic W-algebra
[Espaces de Calogero-Moser et une W-algèbre adélique]
Horozov, Emil
Annales de l'Institut Fourier, Tome 55 (2005), p. 2069-2090 / Harvested from Numdam
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Nous construisons une algèbre nommée adélique W-algèbre puis, nous construisons une représentation bosonique naturelle. Nous montrons ensuite que les points des espaces de Calogero-Moser sont en correspondance biunivoque avec les fonctions tau en cette représentation.

We introduce a Lie algebra, which we call adelic W-algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.

Publié le : 2005-01-01
DOI : https://doi.org/10.5802/aif.2152
Classification:  37K30,  37K35
Mots clés: espaces de Fock, opérateurs bispectraux, théorie de Sato de KP-hiérarchie 
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     author = {Horozov, Emil},
     title = {Calogero-Moser spaces and an adelic $W$-algebra},
     journal = {Annales de l'Institut Fourier},
     volume = {55},
     year = {2005},
     pages = {2069-2090},
     doi = {10.5802/aif.2152},
     mrnumber = {2187946},
     zbl = {02230068},
     language = {en},
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Horozov, Emil. Calogero-Moser spaces and an adelic $W$-algebra. Annales de l'Institut Fourier, Tome 55 (2005) pp. 2069-2090. doi : 10.5802/aif.2152. http://gdmltest.u-ga.fr/item/AIF_2005__55_6_2069_0/

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