Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4655266 | Journal of Combinatorial Theory, Series A | 2014 | 18 Pages |
Abstract
Using vertex operators we study Macdonald symmetric functions of rectangular shapes and their connection with the q-Dyson Laurent polynomial. We find a vertex operator realization of Macdonald functions and give a generalized Frobenius formula for them. As byproducts of the realization, we find a q-Dyson constant term orthogonality relation which generalizes a conjecture due to Kadell (2000), and we generalize Matsumoto's hyperdeterminant formula for rectangular Jack functions to Macdonald functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Tommy Wuxing Cai,