Invariants of four subspaces

Gerry W. Schwarz; David L. Wehlau

Annales de l'institut Fourier (1998)

  • Volume: 48, Issue: 3, page 667-697
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Schwarz, Gerry W., and Wehlau, David L.. "Invariants of four subspaces." Annales de l'institut Fourier 48.3 (1998): 667-697. <http://eudml.org/doc/75298>.

@article{Schwarz1998,
abstract = {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.},
author = {Schwarz, Gerry W., Wehlau, David L.},
journal = {Annales de l'institut Fourier},
keywords = {invariants; equidimensionality; castling; complex vector spaces; isotropy groups; modules of covariants},
language = {eng},
number = {3},
pages = {667-697},
publisher = {Association des Annales de l'Institut Fourier},
title = {Invariants of four subspaces},
url = {http://eudml.org/doc/75298},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Schwarz, Gerry W.
AU - Wehlau, David L.
TI - Invariants of four subspaces
JO - Annales de l'institut Fourier
PY - 1998
PB - Association des Annales de l'Institut Fourier
VL - 48
IS - 3
SP - 667
EP - 697
AB - 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.
LA - eng
KW - invariants; equidimensionality; castling; complex vector spaces; isotropy groups; modules of covariants
UR - http://eudml.org/doc/75298
ER -

References

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