New Formulas and Conjectures for the Nabla Operator

Details New Formulas and Conjectures for the Nabla Operator New Formulas and Conjectures for the Nabla Operator

2011-05-29

arxiv.org/abs/1105.5795v1

Mathematics

Combinatorics

13 pages

Scientific paper

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.

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