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Intertwining operators in Hecke algebras

Student-Run Discrete Math Seminar

Speaker: Jeff Ferreira, UC Davis
Location: 3106 MSB
Start time: Thu, Apr 30 2009, 1:10PM

I will introduce the basic theory of intertwining operators in the group algebra of the symmetric group and the Hecke algebra of the symmetric group. I will then give applications of the theory to the representation theory of the symmetric group and Hecke algebra, and if time permits I will show how non-symmetric Macdonald polynomials can be constructed using intertwining operators.