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

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

2005-10-13

arxiv.org/abs/math/0510283v1

Mathematics

Representation Theory

9 pages

Scientific paper

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 $\lambda$-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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