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SUMMARY:The Haar state of O(SL_q(3)) on a monomial basis - Ting Lu (Harbin
  Institute of Technology)
DTSTART:20241205T141000Z
DTEND:20241205T143000Z
UID:TALK224638@talks.cam.ac.uk
DESCRIPTION:The Haar measure of compact Lie groups plays an important role
  in the representation theory and many other aspects of Lie groups. On O(S
 L_q(3))\, the quantized algebra of coordinate function of SL(3)\, there is
  a q-deformed Haar measure called the Haar state. Since O(SL_q(3)) is a co
 semisimple Hopf-* algebra\, the Haar state of O(SL_q(3)) is determined by 
 its Peter-Weyl decomposition. However\, the explicit expressions of the ma
 trix coefficients are still unclear and evaluating the Haar state using ma
 trix coefficeints is inefficient. In this talk\, we define a monomial basi
 s on O(SL_q(3)) and give the explicit expressions of the Haar states of th
 ese monomials as rational polynomials in variable q. Then\, we will briefl
 y discuss the methods used in the computation.
LOCATION:Seminar Room 1\, Newton Institute
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