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Let G be a connected reductive group defined over $$\mathbb{F}_q$$Fq, the finite field with q elements. Let B be a Borel subgroup defined over $$\mathbb{F}_q$$Fq. In this paper, we completely… Click to show full abstract
Let G be a connected reductive group defined over $$\mathbb{F}_q$$Fq, the finite field with q elements. Let B be a Borel subgroup defined over $$\mathbb{F}_q$$Fq. In this paper, we completely determine the composition factors of the induced module $$\mathbb{M}(\rm{tr})=\mathbb{k}G\otimes_{\mathbb{k}B}tr$$M(tr)=kG⊗kBtr (where tr is the trivial B-module) for any field $$\mathbb{k}$$k.
Keywords:
module;
infinite chevalley;
permutation module;
module infinite;
decomposition permutation;
chevalley groups
Journal Title: Science China Mathematics
Year Published: 2019
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Journal Title: Science China Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!