2011/05/29 by François Bergeron, Bergeron, Francois
Mathematics · #05E05 #05E10 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.1105.5795
openalex publication_date 2011/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The operator nabla, introduced by Garsia and the author, plays a crucial role in many aspect of the study of diagonal harmonics. Besides giving several new formulas involving this operator, we show how one is lead to representation theoretic explanations for conjectures about the effect of this operator on Schur functions.