Theta operators, refined delta conjectures, and coinvariants

DOI10.1016/j.aim.2020.107447zbMath1453.05135arXiv1906.02623OpenAlexW3093881334WikidataQ123186199 ScholiaQ123186199MaRDI QIDQ2214087

Michele D'Adderio, Anna Vanden Wyngaerd, Iraci Alessandro

Publication date: 4 December 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02623

zbMATH Keywords

Macdonald polynomialstheta operatorsdiagonal coinvariantsdelta conjecture

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Commutators, derivations, elementary operators, etc. (47B47) Theta series; Weil representation; theta correspondences (11F27)

Related Items (13)

A combinatorial basis for the fermionic diagonal coinvariant ring ⋮ A proof of the compositional Delta conjecture ⋮ A valley version of the delta square conjecture ⋮ Pushing our way from the valley delta to the generalised valley delta ⋮ A proof of the fermionic theta coinvariant conjecture ⋮ Quasisymmetric harmonics of the exterior algebra ⋮ Combinatorics of the Delta conjecture at \(q=-1\) ⋮ New identities for theta operators ⋮ Set Partitions, Fermions, and Skein Relations ⋮ Rectangular analogues of the square paths conjecture and the univariate Delta conjecture ⋮ Delta and Theta Operator Expansions ⋮ A proof of the theta operator conjecture ⋮ A Proof of the Extended Delta Conjecture

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