On symmetric quotients of symmetric algebras

JOURNAL OF ALGEBRA

卷:442

Article; Proceedings Paper

Kessar, Radha¹  Koshitani, Shigeo²  Linckelmann, Markus¹ 

[1] City Univ London, Dept Math Sci, London EC1V 0HB, England

[2] Chiba Univ, Grad Sch Sci, Dept Math, Inage Ku, Chiba 2638522, Japan

关键词: Symmetric algebra;    Finite group;   

DOI  :  10.1016/j.jalgebra.2014.05.035

来源: Elsevier

【 摘 要 】

We investigate symmetric quotient algebras of symmetric algebras, with an emphasis on finite group algebras over a complete discrete valuation ring Omicron. Using elementary methods, we show that if an ordinary irreducible character chi of a finite group G gives rise to a symmetric quotient over Omicron which is not a matrix algebra, then the decomposition numbers of the row labelled by chi are all divisible by the characteristic p of the residue field of Omicron. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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