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Quantum doubles of Fock type and bosonization

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Publication:2666642
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DOI10.1016/j.geomphys.2021.104396zbMath1490.81097OpenAlexW3207607961MaRDI QIDQ2666642

Pavel A. Saponov, Dimitri Gurevich

Publication date: 23 November 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104396

zbMATH Keywords

currentsquantum doublecreation and annihilation operatorsbosonic (fermionic) realizationhalf-currents


Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)




Cites Work

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  • Braided differential operators on quantum algebras
  • Central extensions of quantum current groups
  • Centers of generalized reflection equation algebras
  • From reflection equation algebra to braided Yangians
  • Braided Yangians
  • Quantum matrix algebras of BMW type: structure of the characteristic subalgebra
  • Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type
  • On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
  • Hopf algebras and vector symmetries
  • Yang-Baxter matrices and differential calculi on quantum hyperplanes
  • Covariant differential calculus on the quantum hyperplane
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