Displaying similar documents to “Special representations of some simple groups with minimal degrees.”

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 × 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 ( , ρ ) , where M 2 ( F ) × B is an order and ρ is a finite-dimensional representation...

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...

On three-dimensional space groups.

Conway, John H., Delgado Friedrichs, Olaf, Huson, Daniel H., Thurston, William P. (2001)

Beiträge zur Algebra und Geometrie

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