Special representations of the Borel and maximal parabolic subgroups of .
Ghorbany, M. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Ghorbany, M. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Morris, Alun O., Jones, Huw I. (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
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Müller, Thomas W. (2006)
Séminaire Lotharingien de Combinatoire [electronic only]
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Bessenrodt, Christine (1994)
Séminaire Lotharingien de Combinatoire [electronic only]
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Kerber, Adalbert (1981)
Séminaire Lotharingien de Combinatoire [electronic only]
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Morris, Alun O., Mwamba, Patrick (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
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Huang, Huale (2003)
Journal of Lie Theory
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Wiesław Żelazko (1991)
Colloquium Mathematicae
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Jared Weinstein (2010)
Journal de Théorie des Nombres de Bordeaux
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Let be a locally compact non-Archimedean field, and let be a division algebra of dimension 4. The Jacquet-Langlands correspondence provides a bijection between smooth irreducible representations of of dimension and irreducible cuspidal representations of . We present a new construction of this bijection in which the preservation of epsilon factors is automatic. This is done by constructing a family of pairs , where is an order and is a finite-dimensional representation...
Piotr Kondratowicz, Piotr Podleś (1997)
Banach Center Publications
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Irreducible representations of quantum groups (in Woronowicz’ approach) were classified in J.Wang, B.Parshall, Memoirs AMS 439 in the case of q being an odd root of unity. Here we find the irreducible representations for all roots of unity (also of an even degree), as well as describe “the diagonal part” of the tensor product of any two irreducible representations. An example of a not completely reducible representation is given. Non-existence of Haar functional is proved. The corresponding...
Conway, John H., Delgado Friedrichs, Olaf, Huson, Daniel H., Thurston, William P. (2001)
Beiträge zur Algebra und Geometrie
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