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UID:20250717T130645EDT-1983CpIR7r@132.216.98.100
DTSTAMP:20250717T170645Z
DESCRIPTION:Title: Schur-Weyl duality and Racah algebra\n\nWe investigate t
 he centralizers of the direct product of three irreducible su(2) represent
 ations labelled by the integers or half-integers $j_i$\, $i = 1\, 2\, 3$. 
 We want to describe these centralizers in terms of generators and relation
 s. We shall offer and motivate a conjecture giving them as quotients of th
 e Racah algebra under polynomial relations involving the generators of the
  latter. These quotients give the Temperley- Lieb and Brauer algebras\, as
  expected\, in the special cases $j_1 = j_2 = j_3 = 1/2$ and $j_1 = j_2 = 
 j_3 = 1$ respectively. We shall also show that the conjecture holds for $j
 _1$ arbitrary and $j_2 = j_3 = 1/2$ in which case\, remarkably\, the centr
 alizer is identified as a one-boundary Temperley-Lieb algebra.\n\n \n
DTSTART:20190319T193000Z
DTEND:20190319T203000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Nicolas Crampé\, CNRS\, Univ. Montpellier et CRM
URL:/mathstat/channels/event/nicolas-crampe-cnrs-univ-
 montpellier-et-crm-295504
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