Crystallographic classes in the Minkowski space~$R_{1,2}$. I.~Theorems
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 4, pp. 33-49.

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

@article{SJIM_2006_9_4_a2,
     author = {R. M. Garipov},
     title = {Crystallographic classes in the {Minkowski} space~$R_{1,2}$. {I.~Theorems}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {33--49},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a2/}
}
TY  - JOUR
AU  - R. M. Garipov
TI  - Crystallographic classes in the Minkowski space~$R_{1,2}$. I.~Theorems
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2006
SP  - 33
EP  - 49
VL  - 9
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a2/
LA  - ru
ID  - SJIM_2006_9_4_a2
ER  - 
%0 Journal Article
%A R. M. Garipov
%T Crystallographic classes in the Minkowski space~$R_{1,2}$. I.~Theorems
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2006
%P 33-49
%V 9
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a2/
%G ru
%F SJIM_2006_9_4_a2
R. M. Garipov. Crystallographic classes in the Minkowski space~$R_{1,2}$. I.~Theorems. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 4, pp. 33-49. http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a2/

[1] Garipov R. M., “Kristallograficheskie gruppy v prostranstve-vremeni Minkovskogo”, Lavrentevskie chteniya, Tez. dokl., 2005, 34–35

[2] Garipov R. M., “Kristallograficheskie klassy v prostranstve Minkovskogo $R_{1,2}$”, Dokl. AN, 409:3 (2006), 300–304 | MR | Zbl

[3] Garipov R. M., “Gruppy ornamentov na ploskosti Minkovskogo”, Algebra i logika, 42:6 (2003), 655–682 | MR | Zbl

[4] Garipov R. M., “Klassifikatsiya po izomorfizmu kristallograficheskikh grupp na psevdoevklidovoi ploskosti. I: Obschii sluchai”, Sib. zhurn. industr. matematiki, 6:4 (2003), 11–31 | MR | Zbl

[5] Garipov R. M., “Klassifikatsiya po izomorfizmu kristallograficheskikh grupp na psevdoevklidovoi ploskosti. II: Reshetki $*$. Serii VII, VIII”, Sib. zhurn. industr. matematiki, 7:1 (2004), 21–38 | MR | Zbl

[6] Garipov R. M., “Klassifikatsiya po izomorfizmu kristallograficheskikh grupp na psevdoevklidovoi ploskosti. III: Reshetki $*$. Serii IX, X”, Sib. zhurn. industr. matematiki, 7:2 (2004), 23–39 | MR | Zbl

[7] Fried D., Goldman W. M., “Three-dimensional affine crystallographic groups”, Adv. Math., 47:1 (1983), 1–49 | DOI | MR | Zbl

[8] Vinberg E. B., “O gruppakh edinits nekotorykh kvadratichnykh form”, Mat. sb., 87:1 (1972), 18–36 | MR | Zbl

[9] Vinberg E. B., “Otsutstvie kristallograficheskikh grupp otrazhenii v prostranstvakh Lobachevskogo bolshoi razmernosti”, Tr. Mosk. mat. ob-va, 47, 1984, 68–102 | MR | Zbl

[10] Bugaenko V. O., “Arithmetic crystallographic groups generated by reflections, and reflective hyperbolic lattices”, Adv. Soviet Math., 8 (1992), 33–55 | MR | Zbl

[11] Naimark M. A., Lineinye predstavleniya gruppy Lorentsa, Fizmatgiz, M., 1958 | MR

[12] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967 | MR

[13] Zassenhaus H., “Über einen Algoritmus zur Bestimmung der Raumgruppen”, Comm. Math. Helv., 1948, no. 21, 117–141 | DOI | MR | Zbl

[14] Garipov R. M., “Algebraicheskii metod vychisleniya kristallograficheskikh grupp, II”, Sib. zhurn. industr. matematiki, 4:1 (2001), 52–72 | MR | Zbl