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Some infinite dimensional representations of reductive groups with Frobenius maps 被引量:3

Some infinite dimensional representations of reductive groups with Frobenius maps
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摘要 In this paper,we construct certain irreducible infinite dimensional representations of algebraic groups with Frobenius maps.In particular,a few classical results of Steinberg and Deligne&Lusztig on complex representations of finite groups of Lie type are extended to reductive algebraic groups with Frobenius maps. In this paper, we construct certain irreducible infinite dimensional representations of algebraic groups with Frobenius maps. In particular, a few classical results of Steinberg and Deligne & Lusztig on complex representations of finite groups of Lie type are extended to reductive algebraic groups with Frobenius maps.
作者 XI NanHua
出处 《Science China Mathematics》 SCIE 2014年第6期1109-1120,共12页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No. 11321101)
关键词 infinite dimensional representation reductive group induced module 维表 还原性 映射 基团 代数群 无穷
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