Invariants of four subspaces
Annales de l'Institut Fourier, Volume 48 (1998) no. 3, pp. 667-697.

We consider problems in invariant theory related to the classification of four vector subspaces of an n-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 n. 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.

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     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},
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     year = {1998},
     doi = {10.5802/aif.1634},
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     zbl = {0899.20024},
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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://www.numdam.org/articles/10.5802/aif.1634/

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