The space of Dunkl monogenics associated with \(\mathbb{Z}_2^3\)

DOI10.1016/j.nuclphysb.2022.115766OpenAlexW4224294978MaRDI QIDQ2144899

Hau-Wen Huang

Publication date: 17 June 2022

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2022.115766

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spinor and twistor methods applied to problems in quantum theory (81R25) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• The \(\mathbb{Z}_2^n\) Dirac-Dunkl operator and a higher rank Bannai-Ito algebra
• The universal Askey-Wilson algebra
• The universal Askey-Wilson algebra and the equitable presentation of \(U_{q}(sl_{2})\)
• ``Hidden symmetry of Askey-Wilson polynomials
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• The \(q\)-Onsager algebra and the universal Askey-Wilson algebra
• A Laplace-Dunkl equation on \(S^2\) and the Bannai-Ito algebra
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• The non-symmetric Wilson polynomials are the Bannai–Ito polynomials
• Differential-Difference Operators Associated to Reflection Groups
• Bannai–Ito algebras and the osp(1;2) superalgebra
• LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
• The Bannai–Ito algebra and a superintegrable system with reflections on the two-sphere
• The Bannai-Ito polynomials as Racah coefficients of the $sl_{-1}(2)$ algebra
• Centralizers of the superalgebra $\mathfrak{osp}(1|2)$ : the Brauer algebra as a quotient of the Bannai–Ito algebra
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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