Artículo
Représentations banales de GLm(D)
Autor/es | Mínguez Espallargas, Alberto |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2013 |
Fecha de depósito | 2016-10-17 |
Publicado en |
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Resumen | Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. We define ... Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. We define banal irreducible R-representations of the group G = GLm(D). This notion involves a condition on the cuspidal support of the representation depending on the characteristic of R. When this characteristic is banal with respect to G, in particular when R is the field of complex numbers, any irreducible R-representation of G is banal. In this article, we give a classification of all banal irreducible R-representations of G in terms of certain multisegments, called banal. When R is the field of complex numbers, our method provides a new proof, entirely local, of Tadi´c’s classification of irreducible complex smooth representations of G. |
Identificador del proyecto | GR/T21714/01
EP/G001480/1 ANR-08-BLAN-0259-01 ANR-10-BLANC-0114 MTM2007-66929 MTM2010-19298 |
Cita | Mínguez Espallargas, A. (2013). Représentations banales de GLm(D). Compositio Mathematica, 149, 679-704. |
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