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UID:20260620T130348EDT-2297FB8IP6@132.216.98.100
DTSTAMP:20260620T170348Z
DESCRIPTION:Title: A commutant approach to the Racah\, Bannai-Ito and Askey
 -Wilson algebras.\n\nAbstract: The Racah\, Bannai-Ito (BI) and Askey-Wilso
 n (AW) algebras are respectively known as the centralizers of the su(1\,1)
 \, osp(1|2)\, U_q(su(1\,1)) algebras in their respective threefold tensor 
 product. In this talk\, it will be shown how each of these pictures can be
  given a dual description in the sense of Howe. More precisely\, as a dual
  picture of the above\, the Racah algebra will be obtained as the commutan
 t of a o(2) oplus o(2) oplus o(2) subalgebra of o(6) in the oscillator rep
 resentation of U(o(6)). This result will be explained by highlighting the 
 Howe dual pair (su(1\,1)\, o(6)) that comes into play. Similar dual pictur
 es will then be presented for the BI algebra and the AW algebra. Whether s
 uch dual pictures exist for the higher rank generalizations of the Racah\,
  BI and AW algebras will be discussed at the end\, along with some open qu
 estions.\n
DTSTART:20190326T193000Z
DTEND:20190326T203000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Julien Gaboriaud\, Dépt. de physique et CRM
URL:/mathstat/channels/event/julien-gaboriaud-dept-de-
 physique-et-crm-295638
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