On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes.
Geck, Meinolf (1996)
Documenta Mathematica
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Displaying similar documents to “Green functions and a conjecture of Geck and Malle.”
On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes.
Irreducible subrepresentations of the conjugation representation of finite p-Groups.
Eberhard Kaniuth, Annette Markfort (1992)
Manuscripta mathematica
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On Brauer’s Height Zero Conjecture
Gabriel Navarro, Britta Späth (2014)
Journal of the European Mathematical Society
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In this paper, the unproven half of Richard Brauer’s Height Zero Conjecture is reduced to a question on simple groups.
Constructing irreducible representations of Weyl groups.
Hawkins, Lee (1995)
Séminaire Lotharingien de Combinatoire [electronic only]
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Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture.
Alexander Premet (1995)
Inventiones mathematicae
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Reciprocity theorems in the theory of representations of groups
A. Strasburger, A. Wawrzyńczyk (1972)
Studia Mathematica
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Projective representations of reflection groups
A. O. Morris (1990)
Banach Center Publications
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Irreducible Representations of Finite Classical Groups.
G. Lusztig (1977)
Inventiones mathematicae
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Constructing rational representations of finite groups.
Plesken, Wilhelm, Souvignier, Bernd (1996)
Experimental Mathematics
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The Ore conjecture
Martin Liebeck, E.A. O’Brien, Aner Shalev, Pham Tiep (2010)
Journal of the European Mathematical Society
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The Ore conjecture, posed in 1951, states that every element of every finite non-abelian simple group is a commutator. Despite considerable effort, it remains open for various infinite families of simple groups. In this paper we develop new strategies, combining character-theoretic methods with other ingredients, and use them to establish the conjecture.
The representations of finite reflection groups.
Başer, Muhittin, Halıcıoğlu, Sait (2004)
Matematichki Vesnik
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Towards a classification of the irreducible representations in non-describing characteristic of a finite group of Lie type.
G. Malle, Meinholf Geck, Gerhard Hiss (1996)
Mathematische Zeitschrift
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Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
Łukasz Garncarek (2014)
Colloquium Mathematicae
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We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation.
Eberhard Kaniuth, M.E.B. Bekka (1988)
Journal für die reine und angewandte Mathematik
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