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This is a Quantitative Study study.

September 17, 2025Combinatorial TheoryOpen Access

Cylindric \ (P\) -tableaux for \ ( (3+1) \) -free posets

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ISIsaiah Siegl

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Implication

This research demonstrates a connection between cylindric P-tableaux and chromatic symmetric functions, indicating innovative combinatorial interpretations.

Key Points

The research shows that the weight generating function of cylindric P-tableaux relates to e-coefficients, enhancing our understanding of symmetric functions.
Analyzing cylindric P-tableaux reveals that their counts correspond to the sums of the e-expansion coefficients of chromatic symmetric functions.
Utilizing P-tableaux as a hybrid model, this work connects combinatorial structures to broader algebraic theories involving Hecke algebra immanants.
The findings suggest new paths for interpreting the Stanley-Stembridge conjecture through the lens of combinatorial algebra.

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Isaiah Siegl (2025) studied this question.

synapsesocial.com/papers/68d4605131b076d99fa5fbf4 https://doi.org/10.5070/c65365566

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Implication

This research demonstrates a connection between cylindric P-tableaux and chromatic symmetric functions, indicating innovative combinatorial interpretations.

Cylindric \ (P\) -tableaux for \ ( (3+1) \) -free posets

Discussion

Member takes

Implication

Key Points

Cite This Study

Cylindric \ (P\) -tableaux for \ ( (3+1) \) -free posets

Discussion

Member takes

Implication

Key Points

Cite This Study

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