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The inductive blockwise Alperin weight condition for type B
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Speaker(s): Zhicheng Feng ( Beijing Univ of S&T)
Time: Aug 13, 2021,2:30pm -3:30pm
Venue: 201 Jinqizhigu Building, No.1 Tangling Road, Nanshan District, Shenzhen

Abstract:
One of the most important problem in modular representation theory of finite groups is the Alperin weight conjecture. This conjecture has been reduced to simple groups by Navarro-Tiep and Späth; to prove the conjecture, it suffices to verify the so-called inductive condition for all finite non-abelian simple groups. Using a criterion given by Brough and Späth, the inductive condition is verified for simple groups of Lie type B under the unitriangularity assumption of the decomposition matrices. Joint work with Conghui Li and Jiping Zhang.