Publicación:
Extremal unipotent representations for the finite Howe correspondence

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Fecha
2019
Autores
Chavez, Jesua Epequin
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Elsevier BV
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Abstracto
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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Weyl groups, Cuspidal unipotent representations, Howe correspondence, Representation theory of finite groups
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