Group structures on algebraic varieties
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 500 (2021), pp. 52-54.

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

We explore to what extent the group variety of an algebraic group determines its group structure.
Keywords: algebraic group, group variety, isomorphism.
@article{DANMA_2021_500_a9,
     author = {V. L. Popov},
     title = {Group structures on algebraic varieties},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {52--54},
     publisher = {mathdoc},
     volume = {500},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_500_a9/}
}
TY  - JOUR
AU  - V. L. Popov
TI  - Group structures on algebraic varieties
JO  - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
PY  - 2021
SP  - 52
EP  - 54
VL  - 500
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DANMA_2021_500_a9/
LA  - ru
ID  - DANMA_2021_500_a9
ER  - 
%0 Journal Article
%A V. L. Popov
%T Group structures on algebraic varieties
%J Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
%D 2021
%P 52-54
%V 500
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DANMA_2021_500_a9/
%G ru
%F DANMA_2021_500_a9
V. L. Popov. Group structures on algebraic varieties. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 500 (2021), pp. 52-54. http://geodesic.mathdoc.fr/item/DANMA_2021_500_a9/

[1] Baum P.F., Browder W., “The cohomology of quotients of classical groups”, Topology, 3 (1965), 305–336 | DOI | MR | Zbl

[2] Brion M., “Some structure theorems for algebraic groups”, Proc. Sympos. Pure Math., 94, Amer. Math. Soc., Providence, RI, 2017, 53–126 | DOI | MR | Zbl

[3] Lazard M., “Sur le nilpotence de certains groupes algebriques”, CRAS Paris, 241 (1955), 1687–1689 | MR | Zbl

[4] Rosenlicht M., “Toroidal algebraic groups”, Proc. Amer. Math. Soc., 12 (1961), 984–988 | DOI | MR | Zbl