A tensor product of the Steinberg module and a certain simple kG(p(r))-module

作者：Yoshii Yutaka^*

来源：Communications in Algebra, 2017, 45(1): 1-8.

DOI：10.1080/00927872.2014.918995

• Finite Chevalley groups
• projective indecomposable modules
• (p,r)-minuscule weights
• tensor products

Let G be a connected, semisimple, and simply connected algebraic group defined and split over the finite field of order p, and let G(q) be the corresponding finite Chevalley or twisted group, where q=p(r). Recently, Anwar determines the direct sum decomposition of the tensor product of the rth Steinberg module and a simple G-module with a (p,r)-minuscule highest weight . In this paper, we determine that of the tensor product regarded as a module for G(q) under some weak assumptions for .

• 出版日期2017