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The representation ring of a simply-connected Lie group as a lambda-ring

Pierre Guillot
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Abstract

Adams and Conway have stated without proof a result which says, roughly speaking, that the representation ring $R(G)$ of a compact, connected Lie group $G$ is generated as a $λ$-ring by elements in 1-to-1 correspondance with the branches of the Dynkin diagram. In this note we present an elementary proof of this.

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Pierre Guillot. 2005-10-13. The representation ring of a simply-connected Lie group as a lambda-ring. https://arxiv.org/abs/math/0510283

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