Une generalisation de l'algebre de Hecke graduee de type B

Details Une generalisation de l'algebre de Hecke graduee de type B Une generalisation de l'algebre de Hecke graduee de type B

2003-04-29

arxiv.org/abs/math/0304484v3

Mathematics

Representation Theory

21 pages, french, corrected and enlarged version

Scientific paper

For a root system of type $B$ we study an algebra similar to a graded Hecke
algebra, isomorphic to a subalgebra of the rational Cherednik algebra. We
introduce principal series modules over it and prove an irreducibility
criterion for these modules. We deduce similar results for an algebra
associated to a root system of type $D$.

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