The Loewy structure of G1T-Verma modules of singular highest weights
The Loewy structure of G1T-Verma modules of singular highest weights
复制标题
单一最高权重的 G1T-Verma 模块的 Loewy 结构
DOI：
10.1017/s1474748015000274
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发表时间：
2017
影响因子：
0.9
通讯作者：
M.
中科院分区：
文献类型：
--
作者：
Abe;N. and Kaneda;M.
Let G be a reductive algebraic group over an algebraically closed field of positive characteristic, G1 the Frobenius kernel of G, and T a maximal torus of G. We show that the parabolically induced G1T-Verma modules of singular highest weights are all rigid, determine their Loewy length, and describe their Loewy structure using the periodic Kazhdan–Lusztig P-and Q-polynomials. We assume that the characteristic of the field is sufficiently large that, in particular, Lusztig’s conjecture for the irreducible G1T-characters holds.
