A Schur function identity related to the \((-1)\)-enumeration of self-complementary plane partitions

DOI10.1016/j.jcta.2007.05.004zbMath1134.05004arXivmath/0602401OpenAlexW2066425715MaRDI QIDQ2474490

Theresia Eisenkölbl

Publication date: 6 March 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602401

zbMATH Keywords

Schur functionsplane partitionsPfaffiansnon-intersecting lattice paths

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (1)

Binomial determinants for tiling problems yield to the holonomic ansatz

Cites Work

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• Alternating sign matrices and descending plane partitions
• Symmetries of plane partitions
• Proof of the Macdonald conjecture
• Plane partitions. II: The equivalence of the Bender-Knuth and MacMahon conjectures
• An exploration of the permanent-determinant method
• Plane partitions. V: The TSSCPP conjecture
• On minuscule representations, plane partitions and involutions in complex Lie groups
• Symmetries of plane partitions and the permanent-determinant method
• Some hidden relations involving the ten symmetry classes of plane partitions
• (--1)-enumeration of plane partitions with complementation symmetry
• \((-1)\)-enumeration of self-complementary plane partitions
• The enumeration of totally symmetric plane partitions
• Generalizations of Cauchy's determinant and Schur's Pfaffian
• Group characters and algebra
• Minor summation formula of pfaffians
• Theory and Application of Plane Partitions. Part 2
• On the Vector Representations of Induced Matroids

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