Product type actions of Gq

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Abstract

We will study a faithful product type action of Gq, the q-deformation of a connected semisimple compact Lie group G, and prove that such an action is induced from a minimal action of the maximal torus T of Gq. This enables us to classify product type actions of SUq(2) up to conjugacy. We also compute the intrinsic group of Gq,Ω, the 2-cocycle deformation of Gq that is naturally associated with the quantum flag manifold L(T\Gq).

Original languageEnglish
Pages (from-to)162-196
Number of pages35
JournalAdvances in Mathematics
Volume269
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

Keywords

  • Depth 2 subfactors
  • Infinite tensor product type actions
  • Non-commutative Poisson boundaries
  • Quantum flag manifolds

ASJC Scopus subject areas

  • Mathematics(all)

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