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The tree representation of Sigma(n+1)

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Abstract

We show that the space of fully grown n-trees has the homotopy type of a bouquet of spheres of dimension n-3 and that the character of the representation of Sigma(n+1) on its only non-trivial reduced homology group is epsilon .(Ind(Sigma n)(Sigma n+1) Lie(n)-Lie(n+1))

Topics: QA
Publisher: ELSEVIER SCIENCE BV
OAI identifier: oai:wrap.warwick.ac.uk:18341
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