Adams operations on the Green ring of a cyclic group of prime-power order

JOURNAL OF ALGEBRA

卷:323

Article

Bryant, R. M.¹  Johnson, Marianne¹ 

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

关键词: Adams operation;    Cyclic p-group;    Exterior power;    Symmetric power;   

DOI  :  10.1016/j.jalgebra.2010.02.033

来源: Elsevier

【 摘 要 】

We consider the Green ring R-KC for a cyclic p-group C over a field K of prime characteristic p and determine the Adams operations psi(n) in the case where n is not divisible by p. This gives information on the decomposition into indecomposables of exterior powers and symmetric powers of KC-modules. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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