On the radical of the group algebra of a symmetric group

On the radical of the group algebra of a symmetric group
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DOI:
10.1142/s0219498817501754
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发表时间:
2017-09
影响因子:
0.8
通讯作者:
Yanbo Li
Yanbo Li
中科院分区:
数学3区
文献类型:
--
作者:
Yanbo Li

文献摘要

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设 A = ℤpSn,其中 p 是素数,Sn 是对称群。我们在本文中证明,如果 n < 2p,则 radA = I,其中 I 是在 [对称细胞代数根,Colog.1] 中构造的幂零理想。数学。 133(2013)67-83]。最后我们对代数 A = ℤpSn 且 n < 2p 给出两点评论。
Let A = ℤpSn with p a prime and Sn a symmetric group. We prove in this paper that if n < 2p, then radA = I, where I is the nilpotent ideal constructed in [Radicals of symmetric cellular algebras, Collog. Math. 133 (2013) 67–83]. Finally we give two remarks on algebras A = ℤpSn with n < 2p.