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Free Lie algebra and lambda-ring structure

Published online by Cambridge University Press:  17 April 2009

Maria Ronco
Maria Ronco
Affiliation:
Depto. de Matemáticas Facultad de Ciencias Exactas y Nat.Universidat de Buenos AiresArgentina
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Abstract

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Let R be a graded λ-ring. We extend a well-known formula in the universal ring of Witt vectors by replacing the power operations by the Adams operations. Our method provides us an easy way to compute the inverse image by the symmetric power operators of certain elements of R. As a corollary we get identities, found by Klyachko and Hanlon, in the rings 1 + ℤ[[t]]+ and 1 + Rˆ[[t]]+, where R is the representation ring of the symmetric groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 3 , December 1994 , pp. 373 - 382
Copyright
Copyright © Australian Mathematical Society 1994

References

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