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

R. M. Bryant; Marianne Johnson

doi:10.1016/j.jalgebra.2010.02.033

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

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Abstract

We consider the Green ring RKC for a cyclic p-group C over a field K of prime characteristic p and determine the Adams operations ψn 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. © 2010 Elsevier Inc.

Original language	English
Pages (from-to)	2818-2833
Number of pages	15
Journal	Journal of Algebra
Volume	323
Issue number	10
DOIs	https://doi.org/10.1016/j.jalgebra.2010.02.033
Publication status	Published - May 2010

Keywords

Adams operation
Cyclic p-group
Exterior power
Symmetric power

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10.1016/j.jalgebra.2010.02.033

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abstract = "We consider the Green ring RKC for a cyclic p-group C over a field K of prime characteristic p and determine the Adams operations ψn 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. {\textcopyright} 2010 Elsevier Inc.",

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AB - We consider the Green ring RKC for a cyclic p-group C over a field K of prime characteristic p and determine the Adams operations ψn 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. © 2010 Elsevier Inc.

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KW - Exterior power

KW - Symmetric power

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DO - 10.1016/j.jalgebra.2010.02.033

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JO - Journal of Algebra

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

Abstract

Keywords

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