Enumeration of Cylindric Plane Partitions - part I

zbMath1412.05016arXiv1204.4583MaRDI QIDQ5377428

Robin Langer

Publication date: 24 May 2019

Full work available at URL: https://arxiv.org/abs/1204.4583

zbMATH Keywords

vertex operatorsMacdonald polynomialsPieri rulelocal rulesgrowth diagramsnon-intersecting lattice pathscylindric plane partitionsgeneralized RSK correspondences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Analysis on real and complex Lie groups (22E30) Group algebras of locally compact groups (22D15)

Related Items (5)

Some useful theorems for asymptotic formulas and their applications to skew plane partitions and cylindric partitions ⋮ Duality and bicrystals on infinite binary matrices ⋮ The 𝐴₂ Andrews–Gordon identities and cylindric partitions ⋮ Rogers-Ramanujan identities and the Robinson-Schensted-Knuth correspondence ⋮ The periodic Schur process and free fermions at finite temperature

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