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In this chapter we study Harish-Chandra induction, which associates to a T-module the G-module obtained by first extending the T-module to a B-module (letting U act trivially) and then inducing to G. This construction allows us to obtain roughly half of the irreducible characters of G.

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Harish-Chandra Induction

  • 章节

  • 发表日期：

    2026年

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  • Cédric Bonnafé

摘要

In this chapter we study Harish-Chandra induction, which associates to a T-module the G-module obtained by first extending the T-module to a B-module (letting U act trivially) and then inducing to G. This construction allows us to obtain roughly half of the irreducible characters of G.