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Cluster X-varieties for dual Poisson-Lie groups II

ContributorsBrahami, Renaud
Publication date2010
Abstract

In the prequel of this paper, we have associated a family of cluster X-varieties to the dual Poisson-Lie group(G*,pi_*) of (G,pi_G) when (G,pi_G) is a complex semi-simple Lie group of adjoint type, given with the standard Poisson structure pi_G and pi_* is the "dual" Poisson structure defined by the Semenov-Tian-Shansky Poisson bracket on G. We describe here the cluster combinatorics involved into the Artin group action on G* given by the De-Concini-Kac-Procesi Poisson automorphisms.

Classification
  • arxiv : math.RT
Citation (ISO format)
BRAHAMI, Renaud. Cluster X-varieties for dual Poisson-Lie groups II. 2010.
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Creation09/24/2010 1:50:00 PM
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