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A Pieri rule for key polynomials
2021Key polynomials are nonsymmetric generalizations of Schur polynomials that form a basis of the ring of polynomials. The question regarding the expansion of a product of key polynomials into the key basis is one that is as of yet largely unexplored. We present cancellation-free, multiplicity-free formula for a key polynomial expansion in the special ...
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Schur Polynomials: New Proof of Pieri's Rule
2023This study centers on Schur polynomials, which are a linear basis of the ring of symmetric polynomials and have significant applications in representation theory. Our focus is on decreasing operators, which are well-defined for Schur polynomials and determine their product.
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Affine Pieri rule for periodic Macdonald spherical functions and fusion rings
Advances in Mathematics, 2021Erdal Emsiz
exaly
The Pieri formulas for hook type Schur multiple zeta functions
Journal of Combinatorial Theory - Series A, 2022Wataru Takeda
exaly
A geometric proof of an equivariant Pieri rule for flag manifolds
Forum Mathematicum, 2019Changzheng Li, Frank Sottile
exaly
Toward the quantum Pieri rule for
SCIENTIA SINICA MathematicaLi Changzheng, Song Jiayu
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Pieri rule for the factorial Schur $P$-functions
2018Soojin Cho, Takeshi Ikeda
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