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Title

Cluster X-varieties for dual Poisson-Lie groups II

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Year 2010
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.
Stable URL https://archive-ouverte.unige.ch/unige:11929
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Deposited on : 2010-09-27

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