Geodesic
Closures of Equivalence Classes of Trivectors of an Eight-Dimensional Complex Vector Space
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 92-100

Voir la notice de l'article provenant de la source Cambridge University Press

G. B. Gurevič enumerated all the orbits of GL 8(C) in Λ3(C8). There are precisely 23 orbits (including the trivial orbit). For each of these orbits, we determine its closure (for the ordinary topology).
DOI : 10.4153/CMB-1983-014-8
Mots-clés : 15A75, 20G20 
Djoković, Dragomir Ž. Closures of Equivalence Classes of Trivectors of an Eight-Dimensional Complex Vector Space. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 92-100. doi: 10.4153/CMB-1983-014-8
@article{10_4153_CMB_1983_014_8,
     author = {Djokovi\'c, Dragomir \v{Z}.},
     title = {Closures of {Equivalence} {Classes} of {Trivectors} of an {Eight-Dimensional} {Complex} {Vector} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {92--100},
     year = {1983},
     volume = {26},
     number = {1},
     doi = {10.4153/CMB-1983-014-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-014-8/}
}
TY  - JOUR
AU  - Djoković, Dragomir Ž.
TI  - Closures of Equivalence Classes of Trivectors of an Eight-Dimensional Complex Vector Space
JO  - Canadian mathematical bulletin
PY  - 1983
SP  - 92
EP  - 100
VL  - 26
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-014-8/
DO  - 10.4153/CMB-1983-014-8
ID  - 10_4153_CMB_1983_014_8
ER  - 
%0 Journal Article
%A Djoković, Dragomir Ž.
%T Closures of Equivalence Classes of Trivectors of an Eight-Dimensional Complex Vector Space
%J Canadian mathematical bulletin
%D 1983
%P 92-100
%V 26
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-014-8/
%R 10.4153/CMB-1983-014-8
%F 10_4153_CMB_1983_014_8

[1] 1. Kjoković, D. Ž., Classification of trivectors of an eight-dimensional real vector space to appear in Linear and Multilinear Algebra. Google Scholar

[2] 2. Gurevič, G. B., Sur les trivecteurs dans l'éspace à sept dimensions, Dokl. Akad. Nauk SSSR, III (1934), 567-569. Google Scholar

[3] 3. Gurevič, G. B., Classifications des trivecteurs ayant le rang huit, Dokl. Akad. Nauk SSSR, II (1935), 355-356. Google Scholar

[4] 4. Gurevič, G. B., Foundations of the theory of algebraic invariants, Noordhoff, Groningen 1964. Google Scholar

[5] 5. Humphries, J. E., Linear algebraic groups, Springer-Verlag, New York, 1975. Google Scholar

[6] 6. Vinberg, E. B. and Elašvili, A. G., Classification of trivectors of a nine-dimensional space, Trudy Sem. Vekt. Tenz. Analizu, M.G.U. No. XVIII (1978), 197-233. Google Scholar

Cité par Sources :