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SEMINARS
Generalized Schur functions
时间  Datetime
2017-12-15 08:30 — 09:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Naihuan Jing
单位  Affiliation
North Carolina State University
邀请人  Host
Cuipo Jiang, Mei Si
报告摘要  Abstract

Schur functions have been used to compute characters of the symmetric group and general linear Lie algebra. Weyl generalized Schur's theory to other classical groups via a generalized Jacobi-Trudi identity which

has turned into one chapter in his seminal book on classical groups. Recently, Okounkov and Olshanski used a difference analog of Schur functions to compute the Harish-Chandra central character for the general linear Lie group. We will discuss a generalized Schur functions that take all these important variant Schur functions under one umbralla and derive several identities for the new functions. Joint work with N. Rozhkovskaya.