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演講公告
  • 標題:An embedding of the universal Askey-Wilson algebra into Uq(sl2) ⊗ Uq(sl2) ⊗ Uq(sl2)
  • 公告日期:2016-10-21


Speaker: Prof. Hau-Wen Huang
(National Central University, Taiwan)

Title: An embedding of the universal Askey-Wilson algebra into Uq(sl2) ⊗ Uq(sl2) ⊗ Uq(sl2)

Time: 16:00–17:00, Monday, November 7, 2016

Venue: Room 070221, 2F, Zhixi Building

Refreshment: Refreshments will be served in Faculty Lounge 30 minutes before the talk.

Abstract: The Askey–Wilson algebras were used to interpret the algebraic structure
hidden in the Racah–Wigner coefficients of the real forms of Uq(sl2).
In this talk, I will display an injective homomorphism of a universal analog
△q of Askey–Wilson algebras into Uq(sl2) ⊗ Uq(sl2) ⊗ Uq(sl2) behind the
application. Moreover, I will give the decomposition rules for 3-fold tensor
products of irreducible Verma Uq(sl2)-modules and of finite-dimensional
irreducible Uq(sl2)-modules into the direct sums of finite-dimensional irreducible
△q-modules. On each irreducible component the defining generators
of △q act as a Leonard triple.

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  • 張貼人:guavawei
  • 最後修改時間:2016-10-21 PM 5:17

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