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Journal Articles Journal of Algebra Year : 2011

Constructible representations and basic sets in type B

Abstract

We study the parametrizations of simple modules provided by the theory of basic sets for all finite Weyl groups. In the case of type B, we show the existence of basic sets for the matrices of constructible representations. Then we study bijections between the various basic sets and show that they are controlled by the matrices of the constructible representations.
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Dates and versions

hal-00430413 , version 1 (06-11-2009)
hal-00430413 , version 2 (13-11-2009)

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Nicolas Jacon. Constructible representations and basic sets in type B. Journal of Algebra, 2011, 336 (1), pp.67-83. ⟨hal-00430413v2⟩
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