We consider problems in invariant theory related to the classification of four vector subspaces of an -dimensional complex vector space. We use castling techniques to quickly recover results of Howe and Huang on invariants. We further obtain information about principal isotropy groups, equidimensionality and the modules of covariants.
Nous considérons des problèmes de théorie des invariants qui sont liés à la classification de quatre sous-espaces d’un espace vectoriel complexe de dimension . Nous utilisons la technique du “castling” pour retrouver rapidement des résultats de Howe et Huang sur les invariants. De plus, nous obtenons des informations sur les groupes d’isotropie principaux, l’équidimensionalité et le module des covariants.
@article{AIF_1998__48_3_667_0, author = {Schwarz, Gerry W. and Wehlau, David L.}, title = {Invariants of four subspaces}, journal = {Annales de l'Institut Fourier}, pages = {667--697}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {48}, number = {3}, year = {1998}, doi = {10.5802/aif.1634}, mrnumber = {99i:14055}, zbl = {0899.20024}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1634/} }
TY - JOUR AU - Schwarz, Gerry W. AU - Wehlau, David L. TI - Invariants of four subspaces JO - Annales de l'Institut Fourier PY - 1998 SP - 667 EP - 697 VL - 48 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1634/ DO - 10.5802/aif.1634 LA - en ID - AIF_1998__48_3_667_0 ER -
%0 Journal Article %A Schwarz, Gerry W. %A Wehlau, David L. %T Invariants of four subspaces %J Annales de l'Institut Fourier %D 1998 %P 667-697 %V 48 %N 3 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1634/ %R 10.5802/aif.1634 %G en %F AIF_1998__48_3_667_0
Schwarz, Gerry W.; Wehlau, David L. Invariants of four subspaces. Annales de l'Institut Fourier, Volume 48 (1998) no. 3, pp. 667-697. doi : 10.5802/aif.1634. http://archive.numdam.org/articles/10.5802/aif.1634/
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