Geodesic
Symmetry tower in the Hubbard model
Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 75-83 
V. M. Zharkov. Symmetry tower in the Hubbard model. Teoretičeskaâ i matematičeskaâ fizika, Tome 90 (1992) no. 1, pp. 75-83. http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a6/
@article{TMF_1992_90_1_a6,
     author = {V. M. Zharkov},
     title = {Symmetry tower in the {Hubbard} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {75--83},
     year = {1992},
     volume = {90},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a6/}
}
TY  - JOUR
AU  - V. M. Zharkov
TI  - Symmetry tower in the Hubbard model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 75
EP  - 83
VL  - 90
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a6/
LA  - ru
ID  - TMF_1992_90_1_a6
ER  - 
%0 Journal Article
%A V. M. Zharkov
%T Symmetry tower in the Hubbard model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 75-83
%V 90
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_90_1_a6/
%G ru
%F TMF_1992_90_1_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

For the example of the Hubbard model, it is shown that a “symmetry tower” exists in strongly correlatexl systems. As a consequence, “models” with strong intereleetron interaction are more appropriately regarded as generators of models. Dynamical algebras that form the tower are found. It is conjectured that the solution to the currently most complicated problem of strong interelectron correlation reduces to analysis of the category of the groups that determine the specific symmetry tower.

[1] Balachandran A. P., Ercoless E., Morandi G., Srivastava A. M., Int. J. Mod. Phys. B, 4:14 (1990) | DOI

[2] Anderson P. W., Int. J. Mod. Phys. B, 4:2 (1990), 181–200 | DOI

[3] Zharkov V. M., TMF, 60:3 (1984), 404–412 ; 77:1 (1988), 107–117 | MR | MR

[4] Abrikosov A. A., Gorkov L. P., Dzyaloshinskii I. E., Metody kvantovoi teorii polya v statisticheskoi fizike, Fizmatgiz, M., 1962 | MR | Zbl

[5] Izyumov Yu. A., Skryabin Yu. N., Stastisticheskaya mekhanika magnito-uporyadochennykh sistem, Nauka, M., 1987 | MR

[6] Zharkov V. M., TMF, 46:1 (1981), 132–138 | MR

[7] Hubbard J., Proc. Roy. Soc. A, 276 (1963), 238 ; 277 (1964), 237 | DOI | DOI

[8] Westwanski B., Pawlikowski A., Phys. Lett. A, 43 (1973), 201 | DOI | MR

[9] Zharkov V. M., TMF, 86:2 (1991), 262–271 | MR

[10] Neretin Yu. F., Funkts. analiz i ego prilozh., 23:3 (1989), 32–44 | MR