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Random Walks on Finite Quantum Groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1866)

Abstract

We present here the theory of quantum stochastic processes with independent increments with special emphasis on their structure as Markov processes. To avoid all technical difficulties we restrict ourselves to discrete time and finite quantum groups, i.e. finite-dimensional C*-Hopf algebras, see Appendix A. More details can be found in the lectures of Kümmerer and Franz in this volume

Keywords

  • Markov Chain
  • Random Walk
  • Transition Matrix
  • Hopf Algebra
  • Quantum Group

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© 2006 Springer-Verlag Berlin/Heidelberg

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Franz, U., Rolf, R. (2006). Random Walks on Finite Quantum Groups. In: Schüermann, M., Franz, U. (eds) Quantum Independent Increment Processes II. Lecture Notes in Mathematics, vol 1866. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11376637_1

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