Linear models for reductive group actions on affine quadrics
Michael Doebeli (1994)
Bulletin de la Société Mathématique de France
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Michael Doebeli (1994)
Bulletin de la Société Mathématique de France
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Deitmar, Anton (2006)
International Journal of Mathematics and Mathematical Sciences
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Gerald W. Schwarz (1995)
Annales scientifiques de l'École Normale Supérieure
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Hanspeter Kraft, Gerald W. Schwarz (1992)
Publications Mathématiques de l'IHÉS
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Heusener, Michael, Porti, Joan (2005)
Algebraic & Geometric Topology
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Gerry W. Schwarz, David L. Wehlau (1998)
Annales de l'institut Fourier
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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.
L. Pukanszky (1971)
Annales scientifiques de l'École Normale Supérieure
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László Fehér, Zsolt Patakfalvi (2009)
Open Mathematics
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R. Rimányi defined the incidence class of two singularities η and ζ as [η]|ζ, the restriction of the Thom polynomial of η to ζ. He conjectured that (under mild conditions) [η]|ζ ≠ 0 ⇔ ζ ⊂ . Generalizing this notion we define the incidence class of two orbits η and ζ of a representation. We give a sufficient condition (positivity) for ζ to have the property that [η]|ζ ≠ 0 ⇔ ζ ⊂ for any other orbit η. We show that for many interesting cases, e.g. the quiver representations of Dynkin...