Group-theoretical description of gauge fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 66-77 Cet article a éte moissonné depuis la source Math-Net.Ru

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In order to obtain a group-theoretical description of gauge fields, gauge groups are generalized in such a way that the obtained infinite groups contain information about the gauge fields and therefore can be regarded as dynamical groups of gauge interactions.
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S. E. Samokhvalov. Group-theoretical description of gauge fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 66-77. http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a5/

[1] Wigner E. P., Ann. Math., 40 (1939), 149 | DOI | MR

[2] Wainberg S., Phys. Rev., 133 (1964), B1318 ; 134, B882 | DOI | DOI

[3] Menskii M. B., Metod indutsirovannykh predstavlenii: prostranstvo-vremya i kontseptsiya chastits, Nauka, M., 1976

[4] Menskii M. B., Gruppa putei: izmereniya, polya, chastitsy, Nauka, M., 1983 | MR

[5] Pontryagin L. S., Nepreryvnye gruppy, Nauka, M., 1973 | MR | Zbl

[6] Batalin J. A., J. Math. Phys., 22 (1981), 1837 | DOI | MR | Zbl

[7] Koboyasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, T. 1, Nauka, M., 1981 | MR

[8] Konopleva N. P., Popov V. N., Kalibrovochnye polya, Atomizdat, M., 1980 | MR

[9] Daniel M., Vialle S. M., UFN, 136 (1982), 377 | DOI

[10] Heyde P., Phys. Lett., 58A (1976), 141 | DOI

[11] Hehl F., Heyde P., Kerlik G., Nester J., Rev. Mod. Phys., 48 (1976), 393 | DOI | MR

[12] Rodichev V. I., Teoriya tyagoteniya v ortogonalnom repere, Nauka, M., 1974 | MR

[13] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya, Nauka, M., 1979 | MR