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

Representation Theory 2007-05-23 v1

Abstract

Adams and Conway have stated without proof a result which says, roughly speaking, that the representation ring R(G)R(G) of a compact, connected Lie group GG is generated as a λ\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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Cite

@article{arxiv.math/0510283,
  title  = {The representation ring of a simply-connected Lie group as a lambda-ring},
  author = {Pierre Guillot},
  journal= {arXiv preprint arXiv:math/0510283},
  year   = {2007}
}

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9 pages