Embedding Q-deformed Heisenberg algebras into undeformed ones

1998/12/24 by Gaetano Fiore
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #Clifford algebra #Covariant transformation #Deformation (meteorology) #Embedding #Lie algebra #Quantum #Quantum group #Universal enveloping algebra #hep-th #math.QA

paper · pdf · doi:10.1016/s0034-4877(99)80019-6

published as Rep. Math. Phys. 43 (1999), 101-108 · LaTex2e file, 8 pages, no figure. To appear in Rep. Math Phys

arxiv created 1998/12/24 · openalex publication_date 1999/02/01 · arxiv updated 2012/09/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Any deformation of a Weyl or Clifford algebra can be realized through some change of generators in the undeformed algebra. Here we briefly describe and motivate our systematic procedure for constructing all such changes of generators for those particular deformations where the original algebra is covariant undersome Lie group and the deformed algebra is covariant under the corresponding quantum group.

Citations

• Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras
• Deforming maps for Lie group covariant creation and annihilation operators
• On the Deformation of Rings and Algebras
• THERMODYNAMIC q-DISTRIBUTIONS THAT AREN’T