Intermediate symplectic characters and shifted plane partitions of shifted double staircase shape

DOI10.5070/C61055372zbMath1498.05022arXiv2009.14037MaRDI QIDQ5048447

Soichi Okada

Publication date: 16 November 2022

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14037

zbMATH Keywords

Pfaffianminor-summation formulashifted plane partitionsintermediate symplectic characters

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (1)

Enumerative combinatorics. Abstracts from the workshop held December 11--17, 2022

Cites Work

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• A proof of the Bender-Knuth conjecture
• Binomial determinants, paths, and hook length formulae
• Odd symplectic groups
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• Plane partitions. II: The equivalence of the Bender-Knuth and MacMahon conjectures
• Applications of minor summation formulas to rectangular-shaped representations of classical groups
• Identities for classical group characters of nearly rectangular shape
• Young tableaux, Gelfand patterns, and branching rules for classical groups
• Schur functions: Theme and variations
• Plane partitions of shifted double staircase shape
• Bijective proofs of skew Schur polynomial factorizations
• New symmetric plane partition identities from invariant theory work of De Concini and Procesi
• Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions
• Enumeration of plane partitions
• Shifted Plane Partitions of Trapezoidal Shape
• A Generalized Berele-Schensted Algorithm and Conjectured Young Tableaux for Intermediate Symplectic Groups
• MacMahon's conjecture on symmetric plane partitions
• The major counting of nonintersecting lattice paths and generating functions for tableaux
• Minor summation formula of pfaffians
• Correlation of a macroscopic dent in a wedge with mixed boundary conditions
• On the Vector Representations of Induced Matroids
• Lattice path proofs for determinantal formulas for symplectic and orthogonal characters

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