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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The Green correspondence for the representations of Hecke algebras of type $ A\sb {r-1}$


Author: Jie Du
Journal: Trans. Amer. Math. Soc. 329 (1992), 273-287
MSC: Primary 20C30; Secondary 16G99, 20G40
DOI: https://doi.org/10.1090/S0002-9947-1992-1022164-1
MathSciNet review: 1022164
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Abstract: We first prove the conjecture mentioned by Leonard K. Jones in his thesis. By applying this conjecture, we obtain that the vertex of an indecomposable $ {\mathcal{H}_F}$-module is an $ l$-parabolic subgroup. Finally, we establish the Green correspondence for the representations of Hecke algebras of type $ {A_{r - 1}}$.


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DOI: https://doi.org/10.1090/S0002-9947-1992-1022164-1
Keywords: Hecke algebra, relative norm, relatively projective, vertex, Green correspondence
Article copyright: © Copyright 1992 American Mathematical Society