Haglund's conjecture for multi-t Macdonald polynomials
Copyright policy )Haglund's conjecture for multi-t Macdonald polynomials
We provide new approaches to prove identities for the modified Macdonald polynomials via their LLT expansions. As an application, we prove a conjecture of Haglund concerning the multi-$t$-Macdonald polynomials of two rows.
Title and abstract changed. Accepted in Discrete Mathematics
- University of California, San Diego United States
- Korea Institute for Advanced Study Korea (Republic of)
- Seoul National University Korea (Republic of)
- University of California, San Francisco United States
LLT polynomials, stretching symmetry, Symmetric functions and generalizations, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Macdonald polynomials, Combinatorics (math.CO), 05E05, 05E10, Haglund's conjecture
LLT polynomials, stretching symmetry, Symmetric functions and generalizations, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Macdonald polynomials, Combinatorics (math.CO), 05E05, 05E10, Haglund's conjecture
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