Discrete series representations of unipotent -adic groups.

Adler, Jeffrey D.; Roche, Alan

Displaying similar documents to “Discrete series representations of unipotent $p$ -adic groups.”

The local Jacquet-Langlands correspondence via Fourier analysis

Jared Weinstein (2010)

Journal de Théorie des Nombres de Bordeaux

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Let $F$ be a locally compact non-Archimedean field, and let $B / F$ be a division algebra of dimension 4. The Jacquet-Langlands correspondence provides a bijection between smooth irreducible representations $π^{'}$ of $B^{\times}$ of dimension $> 1$ and irreducible cuspidal representations of ${GL}_{2} (F)$ . 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 $(ℒ, ρ)$ , where $ℒ \subset M_{2} (F) \times B$ is an order and $ρ$ is a finite-dimensional representation...

On a problem of Fell and Doran

Wiesław Żelazko (1991)

Colloquium Mathematicae

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Branching laws for some unitary representations of $SL (4, ℂ)$ .

Ørsted, Bent, Speh, Birgit (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Finite groups with a unique nonlinear nonfaithful irreducible character

Ali Iranmanesh, Amin Saeidi (2011)

Archivum Mathematicum

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In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only $p$ -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if $G$ is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then $G$ is solvable.

Special representations of some simple groups with minimal degrees.

Ghorbany, Maryam (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Projective representations of generalized symmetric groups.

Morris, Alun O., Jones, Huw I. (2003)

Séminaire Lotharingien de Combinatoire [electronic only]

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On representation theory of quantum $S L_{q} (2)$ groups at roots of unity

Piotr Kondratowicz, Piotr Podleś (1997)

Banach Center Publications

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Irreducible representations of quantum groups $S L_{q} (2)$ (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...

Discrete minimal surface algebras.

Arnlind, Joakim, Hoppe, Jens (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Representations of the covering groups of the symmetric groups and their combinatorics.

Bessenrodt, Christine (1994)

Séminaire Lotharingien de Combinatoire [electronic only]

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Displaying similar documents to “Discrete series representations of unipotent p -adic groups.”

Displaying similar documents to “Discrete series representations of unipotent $p$ -adic groups.”