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ISSN 1088-6826(e) ISSN 0002-9939(p)

On the correspondence of representations between and division algebras

Author(s): Joshua Lansky; A. Raghuram
Journal: Proc. Amer. Math. Soc. 131 (2003), 1641-1648.
MSC (2000): Primary 22E35, 22E50
Posted: December 6, 2002
MathSciNet review: 1950297
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Abstract: For a division algebra over a -adic field we prove that depth is preserved under the correspondence of discrete series representations of and irreducible representations of by proving that an explicit relation holds between depth and conductor for all such representations. We also show that this relation holds for many (possibly all) discrete series representations of

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