Extremal unipotent representations for the finite Howe correspondence
We study the Howe correspondence for unipotent representations of irreducible dual pairs (G, G') = (U-m (F-q), U-n(F-q)) and (G, G') = (Sp(2m)(F-q), O-2n(epsilon) (F-q)), where F-q denotes the finite field with q elements (q odd) and epsilon = +/- 1. We show how to extract extrema] (i.e. m...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | Perú |
| Institución: | Consejo Nacional de Ciencia Tecnología e Innovación |
| Repositorio: | CONCYTEC-Institucional |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.concytec.gob.pe:20.500.12390/2852 |
| Acceso en línea: | https://hdl.handle.net/20.500.12390/2852 https://doi.org/10.1016/j.jalgebra.2019.05.046 |
| Access Level: | acceso abierto |
| Palabra clave: | Weyl groups Cuspidal unipotent representations Howe correspondence Representation theory of finite groups http://purl.org/pe-repo/ocde/ford#1.01.01 |
| Sumario: | We study the Howe correspondence for unipotent representations of irreducible dual pairs (G, G') = (U-m (F-q), U-n(F-q)) and (G, G') = (Sp(2m)(F-q), O-2n(epsilon) (F-q)), where F-q denotes the finite field with q elements (q odd) and epsilon = +/- 1. We show how to extract extrema] (i.e. minimal and maximal) irreducible subrepresentations from the image Theta(pi') of a unipotent representation pi' of G'. (C) 2019 Elsevier Inc. All rights reserved. |
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