Math 2.0

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On the Nazarov-Sklyanin Lax operator for Macdonald functions 9S7HGSEX6Q

URIm2://res/9S7HGSEX6Q
Kindpreprint
CreatorsRyan Mickler
Date2026-10-08
MSC05-XX, 17-XX, 81-XX
Subjectsarxiv math.CO, arxiv math.QA
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-08
IdsarXiv 2610.12326, zbl_id 903204872

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
Principal specializationstatementtheorem 4.1arxiv
2DRJ5D9M0Fstatementcorollary 4.3arxiv
2SKDTAHN88statementlemma 3.16arxiv
2YXYK54FZ3statementproposition 3.13arxiv
4B6NW5VTGWstatementproposition 3.12arxiv
4E307FX6PSstatementcorollary 4.5arxiv
5ASTQJQ1ATdefinitiondefinition 3.6arxiv
Two-parameter box-sum identitystatementtheorem 1.3arxiv
7C4WXBYBMBstatementtheorem 1.1arxiv
$\bT$-factordefinitiondefinition 5.1arxiv
Macdonald box-sum identitystatementtheorem 6.2arxiv
8Q0QAF67ARstatementlemma 3.15arxiv
Hatted basisdefinitiondefinition 4.6arxiv
Low-degree eigenvectorsexampleexample 3.17arxiv
Block form of $\LL$statementlemma 3.4arxiv
Warnaarstatementproposition 7.3arxiv
BCVFFP17NGstatementlemma 6.3arxiv
Solving for $g_{(2,1),(2,1)}^{(3,2,1)}$exampleexample 7.8arxiv
The $\mathbf{x}$- and $\mathbf{z}$-tracesstatementproposition 6.4arxiv
BVFD73APANstatementproposition 4.8arxiv
Kerovdefinitiondefinition 3.8arxiv
EN749JNJ3Pstatementlemma 3.5arxiv
F1CPHNHQNPstatementcorollary 7.6arxiv
FBGZZCAM9Jdefinitiondefinition 3.2arxiv
FY8FSW8MQ3statementproposition 3.7arxiv
Product-resolvent formulastatementtheorem 1.2arxiv
The case $\mu=\nu=(1)$exampleexample 7.1arxiv
Nazarov--Sklyanin Macdonald Lax operatordefinitiondefinition 2.1arxiv
KBT8ZSC74Jstatementproposition 4.4arxiv
KMW3NYSGY0definitiondefinition 5.3arxiv
KN4FRG2A7Gstatementcorollary 5.10arxiv
Double-residue identitiesstatementcorollary 7.5arxiv
Nazarov--Sklyaninstatementtheorem 2.2arxiv
Projection identitiesstatementlemma 5.7arxiv
RQYAH2RCJAstatementcorollary 7.4arxiv
RVP5TF7K1Vstatementlemma 2.3arxiv
Shift propertystatementlemma 3.3arxiv
Spectral theorem for $\LL^+$statementcorollary 3.14arxiv
Root-box residues for $J_{(1)}^2$exampleexample 7.7arxiv
Defect recursionstatementlemma 5.5arxiv
TD6J63KZAQstatementcorollary 4.9arxiv
$\mathbf{y}$-trace formulastatementproposition 5.9arxiv
Full Macdonald Lax operatordefinitiondefinition 3.1arxiv
Spectral theorem for $\LL$statementproposition 3.11arxiv
Jack box-sum identitystatementtheorem 6.1arxiv
Polynomial form of the defectstatementlemma 5.4arxiv
Kerov momentsstatementlemma 3.10arxiv
WQVG2M9WRJstatementlemma 7.2arxiv
Telescoping trace relationstatementproposition 6.5arxiv
YD36XVX782statementlemma 4.7arxiv
Universal trace identitiesstatementlemma 5.6arxiv
principal specializationsstatementproposition 4.2arxiv
Product and defect tracesstatementlemma 5.8arxiv

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