Vector parametrization of the complex Lorentz group
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 67-74 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that the complex Lorentz group can be parametrized by means of two independent complex three-dimensional vectors, thus establishing a far-reaching analogy with the real Lorentz group. General expressions are obtained for finite transformations of irreducible finite-dimensional representations of the complex Lorentz group.
@article{TMF_1972_13_1_a3,
     author = {A. A. Bogush and F. I. Fedorov},
     title = {Vector parametrization of the complex {Lorentz} group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {67--74},
     year = {1972},
     volume = {13},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a3/}
}
TY  - JOUR
AU  - A. A. Bogush
AU  - F. I. Fedorov
TI  - Vector parametrization of the complex Lorentz group
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1972
SP  - 67
EP  - 74
VL  - 13
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a3/
LA  - ru
ID  - TMF_1972_13_1_a3
ER  - 
%0 Journal Article
%A A. A. Bogush
%A F. I. Fedorov
%T Vector parametrization of the complex Lorentz group
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 67-74
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a3/
%G ru
%F TMF_1972_13_1_a3
A. A. Bogush; F. I. Fedorov. Vector parametrization of the complex Lorentz group. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 1, pp. 67-74. http://geodesic.mathdoc.fr/item/TMF_1972_13_1_a3/

[1] F. I. Fedorov, Otchet po teme No 1, IF AN BSSR, 1959

[2] F. I. Fedorov, DAN BSSR, 5, 101 ; (1961), 194 | MR | Zbl

[3] F. I. Fedorov, DAN SSSR, 143 (1962), 56 | MR | Zbl

[4] F. I. Fedorov, A. A. Bogush, DAN BSSR, 6 (1962), 690 | Zbl

[5] F. I. Fedorov, Izv. AN BSSR, ser. fiz.-matem., 2 (1967), 85 | MR | Zbl

[6] E. E. Tkharev, F. I. Fedorov, YaF, 5 (1967), 1112

[7] F. I. Fedorov, E. E. Tkharev, YaF, 7 (1968), 189

[8] F. I. Fedorov, TMF, 2 (1970), 343

[9] E. E. Tkharev, F. I. Fedorov, DAN BSSR, 14 (1970), 212

[10] A. A. Bogush, L. G. Moroz, F. I. Fedorov, Izv. AN BSSR, ser. fiz.-matem., 4 (1970), 85

[11] E. E. Tkharev, F. I. Fedorov, TMF, 7 (1971), 332

[12] A. A. Bogush, L. G. Moroz, Konechnye preobrazovaniya gruppy Lorentsa i ikh predstavlenii, Preprint IF AN BSSR, 1970

[13] F. I. Fedorov, DAN BSSR, 2 (1958), 408

[14] N. N. Bogolyubov, A. A. Logunov, I. T. Todorov, Osnovy aksiomaticheskogo podkhoda v kvantovoi teorii polya, «Nauka», 1969 | MR

[15] R. Iost, Obschaya teoriya kvantovannykh polei, «Mir», 1967 | MR

[16] F. I. Fedorov, E. E. Tkharev, Izv. AN BSSR, ser. fiz.-matem., 1 (1967), 101 | Zbl

[17] G. Cohen-Tannoudji, A. Morel, H. Navelet, Ann. Phys., 46 (1968), 111 | DOI

[18] Kh. Umedzava, Kvantovaya teoriya polya, IL, 1958

[19] A. A. Bogush, F. I. Fedorov, DAN BSSR, 5 (1961), 327 | Zbl