A Formula for N-Row Macdonald Polynomials

vertex operators;Macdonald polynomials;symmetric functions

Williams, Ellison Anne ; Ernie Stitzinger, Committee Co-Chair,Naihuan Jing, Committee Co-Chair,Williams, Ellison Anne ; Ernie Stitzinger ; Committee Co-Chair ; Naihuan Jing ; Committee Co-Chair

University:North Carolina State University

关键词: vertex operators;    Macdonald polynomials;    symmetric functions;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/3595/etd.pdf?sequence=1&isAllowed=y

美国|英语

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【 摘 要 】

We derive a formula for the n-row Macdonald polynomials with the coefficients presented both combinatorically and in terms of very-well-poised hypergeometric series.