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比利时vs摩洛哥足彩 ,
university of california san diego

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math 269 - combinatorics

soichi okada

graduate school of mathematics, nagoya university

symplectic q-functions

abstract:

schur q-functions are a family of symmetric functions introduced by schur in his study of projective representations of symmetric groups. they are obtained by putting t = -1 in the hall-littlewood functions associated to the root system of type a. (schur functions are the t = 0 specialization.) this talk concerns symplectic q-functions, which are obtained by putting t = -1 in the hall-littlewood functions associated to the root system of type c. we present several pfaffian formulas for symplectic q-functions similar to those for schur q-functions and give a tableau description. also we discuss some conjectures including the positivity conjecture of structure constants.

host: brendon rhoades

january 9, 2018

10:00 am

ap&m 6402

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