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The Bannai-Ito algebra and some applications

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Abstract
The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the sl_{−1}(2) algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere are surveyed.
Keywords
REPRESENTATIONS, POLYNOMIALS, OPERATORS, SYMMETRY, DUALITY, LIMIT

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MLA
De Bie, Hendrik et al. “The Bannai-Ito Algebra and Some Applications.” Journal of Physics Conference Series. Vol. 597. IOP publishing, 2015. Print.
APA
De Bie, H., Genest, V., Tsujimoto, S., Vinet, L., & Zhedanov, A. (2015). The Bannai-Ito algebra and some applications. Journal of Physics Conference Series (Vol. 597). Presented at the 30th International Colloquium on Group Theoretical Methods in Physics (Group30), IOP publishing.
Chicago author-date
De Bie, Hendrik, Vincent Genest, Satoshi Tsujimoto, Luc Vinet, and Alexei Zhedanov. 2015. “The Bannai-Ito Algebra and Some Applications.” In Journal of Physics Conference Series. Vol. 597. IOP publishing.
Chicago author-date (all authors)
De Bie, Hendrik, Vincent Genest, Satoshi Tsujimoto, Luc Vinet, and Alexei Zhedanov. 2015. “The Bannai-Ito Algebra and Some Applications.” In Journal of Physics Conference Series. Vol. 597. IOP publishing.
Vancouver
1.
De Bie H, Genest V, Tsujimoto S, Vinet L, Zhedanov A. The Bannai-Ito algebra and some applications. Journal of Physics Conference Series. IOP publishing; 2015.
IEEE
[1]
H. De Bie, V. Genest, S. Tsujimoto, L. Vinet, and A. Zhedanov, “The Bannai-Ito algebra and some applications,” in Journal of Physics Conference Series, Ghent, Belgium, 2015, vol. 597.
@inproceedings{7069134,
  abstract     = {The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the sl_{−1}(2) algebra, a superintegrable model with reflections and a Dirac-Dunkl equation on the 2-sphere are surveyed.},
  articleno    = {012001},
  author       = {De Bie, Hendrik and Genest, Vincent and Tsujimoto, Satoshi and Vinet, Luc and Zhedanov, Alexei},
  booktitle    = {Journal of Physics Conference Series},
  issn         = {1742-6588},
  keywords     = {REPRESENTATIONS,POLYNOMIALS,OPERATORS,SYMMETRY,DUALITY,LIMIT},
  language     = {eng},
  location     = {Ghent, Belgium},
  publisher    = {IOP publishing},
  title        = {The Bannai-Ito algebra and some applications},
  url          = {http://dx.doi.org/10.1088/1742-6596/597/1/012001},
  volume       = {597},
  year         = {2015},
}

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