Geodesic
Intertwining Relations for the Spherical Parts of Generalized Calogero Operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 1, pp. 55-69
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We construct the shift operators and the intertwining operators for the spherical parts of generalized Calogero operators related to classical Coxeter systems.
Mots-clés : Calogero system
Keywords: spherical intertwining relation, Dunkl operators. 
@article{TMF_2003_135_1_a1,
     author = {M. V. Feigin},
     title = {Intertwining {Relations} for the {Spherical} {Parts} of {Generalized} {Calogero} {Operators}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {55--69},
     year = {2003},
     volume = {135},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a1/}
}
TY  - JOUR
AU  - M. V. Feigin
TI  - Intertwining Relations for the Spherical Parts of Generalized Calogero Operators
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2003
SP  - 55
EP  - 69
VL  - 135
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a1/
LA  - ru
ID  - TMF_2003_135_1_a1
ER  - 
%0 Journal Article
%A M. V. Feigin
%T Intertwining Relations for the Spherical Parts of Generalized Calogero Operators
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2003
%P 55-69
%V 135
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a1/
%G ru
%F TMF_2003_135_1_a1
M. V. Feigin. Intertwining Relations for the Spherical Parts of Generalized Calogero Operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 1, pp. 55-69. http://geodesic.mathdoc.fr/item/TMF_2003_135_1_a1/

[1] F. Calogero, J. Math. Phys., 12 (1971), 419–436 | DOI | MR

[2] M. A. Olshanetsky, A. M. Perelomov, Lett. Math. Phys., 2 (1977), 7–13 | DOI | MR | Zbl

[3] M. A. Olshanetsky, A. M. Perelomov, Phys. Rep., 94 (1983), 313–404 | DOI | MR

[4] G. J. Heckman, E. M. Opdam, Compos. Math., 64 (1987), 329–352 ; G. J. Heckman, Compos. Math., 64 (1987), 353–373 ; E. M. Opdam, Compos. Math., 67 (1988), 21–49 | MR | Zbl | MR | Zbl | MR | Zbl

[5] G. J. Heckman, Prog. Math., 101 (1991), 181–191 | MR | Zbl

[6] E. M. Opdam, Compos. Math., 67 (1988), 191–209 | MR | Zbl

[7] C. F. Dunkl, Trans. Am. Math. Soc., 311 (1989), 167–183 | DOI | MR | Zbl

[8] Yu. Berest, Yu. Molchanov, J. Math. Phys., 36 (1995), 4324–4339 ; K. Taniguchi, “Differential operators that commute with the $r^{-2}$-type Hamiltonian”, Calogero–Moser–Sutherlend Models, CRM Ser. Math. Phys., eds. J. F. van Diejen, L. Vinet, Springer, Berlin, 2000, 451–459 | DOI | MR | Zbl | MR

[9] M. V. Feigin, TMF, 121:2 (1999), 264–270 | DOI | MR | Zbl

[10] O. A. Chalykh, M. V. Feigin, A. P. Veselov, Commun. Math. Phys., 206 (1999), 533–566 | DOI | MR | Zbl