Embeddings of the Racah Algebra into the Bannai-Ito Algebra

Embeddings of the Racah algebra into the Bannai-Ito algebra are proposed in two realizations. First, quadratic combinations of the Bannai-Ito algebra generators in their standard realization on the space of polynomials are seen to generate a central extension of the Racah algebra. The result is also...

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Datum:2015
Hauptverfasser: Genest, V.X., Vinet, L., Zhedanov, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2015
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/147119
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Embeddings of the Racah Algebra into the Bannai-Ito Algebra / V.X. Genest, L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine