Advanced search
2 files | 273.06 KB Add to list

An exceptional symmetry algebra for the 3D Dirac–Dunkl operator

Alexis Langlois-Rémillard (UGent) and Roy Oste (UGent)
Author
Organization
Project
Abstract
We initiate the study of an algebra of symmetries for the 3D Dirac–Dunkl operator associated with the Weyl group of the exceptional root system G 2. For this symmetry algebra,we give both an abstract definition and an explicit realisation. We then construct ladder operators,using an intermediate result we prove for the Dirac–Dunkl symmetry algebra associated with arbitrary finite reflection group acting on a three-dimensional space.

Downloads

  • view.pdf
    • full text (Accepted manuscript)
    • |
    • open access
    • |
    • PDF
    • |
    • 95.10 KB
  • (...).pdf
    • full text (Published version)
    • |
    • UGent only
    • |
    • PDF
    • |
    • 177.95 KB

Citation

Please use this url to cite or link to this publication:

MLA
Langlois-Rémillard, Alexis, and Roy Oste. “An Exceptional Symmetry Algebra for the 3D Dirac–Dunkl Operator.” Lie Theory and Its Applications in Physics (LT 2019), Proceedings, edited by Vladimir Dobrev, vol. 335, Springer, 2020, pp. 399–405, doi:10.1007/978-981-15-7775-8_30.
APA
Langlois-Rémillard, A., & Oste, R. (2020). An exceptional symmetry algebra for the 3D Dirac–Dunkl operator. In V. Dobrev (Ed.), Lie Theory and Its Applications in Physics (LT 2019), Proceedings (Vol. 335, pp. 399–405). Singapore: Springer. https://doi.org/10.1007/978-981-15-7775-8_30
Chicago author-date
Langlois-Rémillard, Alexis, and Roy Oste. 2020. “An Exceptional Symmetry Algebra for the 3D Dirac–Dunkl Operator.” In Lie Theory and Its Applications in Physics (LT 2019), Proceedings, edited by Vladimir Dobrev, 335:399–405. Singapore: Springer. https://doi.org/10.1007/978-981-15-7775-8_30.
Chicago author-date (all authors)
Langlois-Rémillard, Alexis, and Roy Oste. 2020. “An Exceptional Symmetry Algebra for the 3D Dirac–Dunkl Operator.” In Lie Theory and Its Applications in Physics (LT 2019), Proceedings, ed by. Vladimir Dobrev, 335:399–405. Singapore: Springer. doi:10.1007/978-981-15-7775-8_30.
Vancouver
1.
Langlois-Rémillard A, Oste R. An exceptional symmetry algebra for the 3D Dirac–Dunkl operator. In: Dobrev V, editor. Lie Theory and Its Applications in Physics (LT 2019), Proceedings. Singapore: Springer; 2020. p. 399–405.
IEEE
[1]
A. Langlois-Rémillard and R. Oste, “An exceptional symmetry algebra for the 3D Dirac–Dunkl operator,” in Lie Theory and Its Applications in Physics (LT 2019), Proceedings, Varna, Bulgaria, 2020, vol. 335, pp. 399–405.
@inproceedings{8698577,
  abstract     = {{We initiate the study of an algebra of symmetries for the 3D Dirac–Dunkl operator associated with the Weyl group of the exceptional root system G 2. For this symmetry algebra,we give both an abstract definition and an explicit realisation. We then construct ladder operators,using an intermediate result we prove for the Dirac–Dunkl symmetry algebra associated with arbitrary finite reflection group acting on a three-dimensional space.}},
  author       = {{Langlois-Rémillard, Alexis and Oste, Roy}},
  booktitle    = {{Lie Theory and Its Applications in Physics (LT 2019), Proceedings}},
  editor       = {{Dobrev, Vladimir}},
  isbn         = {{9789811577741}},
  issn         = {{2194-1009}},
  language     = {{eng}},
  location     = {{Varna, Bulgaria}},
  pages        = {{399--405}},
  publisher    = {{Springer}},
  title        = {{An exceptional symmetry algebra for the 3D Dirac–Dunkl operator}},
  url          = {{http://dx.doi.org/10.1007/978-981-15-7775-8_30}},
  volume       = {{335}},
  year         = {{2020}},
}

Altmetric
View in Altmetric