Corrigenda: ‘On systems of linear inequalities’
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
Masami Fujimori (2004)
Bulletin de la Société Mathématique de France
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
Fripertinger, Harald (1994)
Séminaire Lotharingien de Combinatoire [electronic only]
Jens C. Jantzen (1980)
Journal für die reine und angewandte Mathematik
Anna Helversen-Pasotto (1982)
Mathematische Annalen
Jürgen Wolfart (1975)
Manuscripta mathematica
Friedrich Roesler (1972)
Mathematische Zeitschrift
A. Zalesskii (1990)
Banach Center Publications
Gerhard Hiss, Jochen Gruber (1997)
Journal für die reine und angewandte Mathematik
Hubert Rubenthaler (2011)
Annales de l’institut Fourier
Let be a regular prehomogeneous vector space (abbreviated to ), where is a reductive algebraic group over . If is a decomposition of into irreducible representations, then, in general, the PV’s are no longer regular. In this paper we introduce the notion of quasi-irreducible (abbreviated to -irreducible), and show first that for completely -reducible ’s, the -isotypic components are intrinsically defined, as in ordinary representation theory. We also show that, in an appropriate...
Olivier Dudas (2009)
Annales scientifiques de l'École Normale Supérieure
Using Deodhar’s decomposition of a double Schubert cell, we study the regular representations of finite groups of Lie type arising in the cohomology of Deligne-Lusztig varieties associated to tori. We deduce that the Deligne-Lusztig restriction of a Gelfand-Graev module is a shifted Gelfand-Graev module.
Friedrich Knop, Peter Littelmann (1987)
Mathematische Zeitschrift
Wilfried Hauenschild (1986)
Mathematische Annalen
Pierre Cartier (1985/1986)
Séminaire Bourbaki
Jürgen Wolfart, Alexandre Nobs (1976)
Commentarii mathematici Helvetici
Alexandre Nobs (1976)
Commentarii mathematici Helvetici
Alexandre Nobs (1977)
Mathematische Annalen
G. I. Lehrer (1974)
Compositio Mathematica
Adler, Jeffrey D., Roche, Alan (2005)
Journal of Lie Theory
Gordan Savin (1994)
Inventiones mathematicae
Andrzej Daszkiewicz, Witold Kraśkiewicz, Tomasz Przebinda (2005)
Open Mathematics
We classify the homogeneous nilpotent orbits in certain Lie color algebras and specialize the results to the setting of a real reductive dual pair. For any member of a dual pair, we prove the bijectivity of the two Kostant-Sekiguchi maps by straightforward argument. For a dual pair we determine the correspondence of the real orbits, the correspondence of the complex orbits and explain how these two relations behave under the Kostant-Sekiguchi maps. In particular we prove that for a dual pair in...