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math.QANov 20, 2002
authors
  • A. Yildiz
institutions
  • Istanbul Technical University
arXiv abstractPDF
paper

Generalized exclusion and Hopf algebras

arXiv:math/0211319 · doi:10.1088/0305-4470/35/50/310

Abstract

We propose a generalized oscillator algebra at the roots of unity with generalized exclusion and we investigate the braided Hopf structure. We find that there are two solutions: these are the generalized exclusions of the bosonic and fermionic types. We also discuss the covariance properties of these oscillators

10 pages, to appear in J. Phys. A

References in corpus (15)

  • Quantum Groups and Their Applications in Nuclear Physics
  • Statistics of Q-Oscillators, Quons and Relation to Fractional Satistics
  • Geometrical foundations of fractional supersymmetry
  • Generalized Quon Statistics
  • Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map
  • Many-body States and Operator Algebra for Exclusion Statistics
  • On Commutation Relations for Quons
  • Fractional Super Lie Algebras and Groups
  • The Braided Heisenberg Group
  • Exclusion statistics,operator algebras and Fock space representations
  • Non-Abelian Fractional Supersymmetry in Two Dimensions
  • A Generalization of Quantum Statistics
  • Turning Bosons into Fermions: Exclusion Statistics, Fractional Statistics and the Simple Harmonic Oscillator
  • Braided Oscillators
  • Quantum Group Covariance and the Braided Structure of Deformed Oscillators
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