A bideterminant proof of a product identity for plane partitions with symmetries

DOI10.1016/0378-3758(93)90008-TzbMath0774.05011OpenAlexW2043223682MaRDI QIDQ1209656

Robert A. Proctor

Publication date: 16 May 1993

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(93)90008-t

zbMATH Keywords

enumerationplane partitionsbideterminantsymplectic Lie group

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Semisimple Lie groups and their representations (22E46)

Related Items (3)

Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation ⋮ Reflection and algorithm proofs of some more Lie group dual pair identities ⋮ New symmetric plane partition identities from invariant theory work of De Concini and Procesi

Cites Work

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• Equivalence of the combinatorial and the classical definitions of Schur functions
• Combinatoire énumérative. Proceedings of the Colloque de combinatoire énumérative (Colloquium on Enumerative Combinatorics), held at Université du Québec à Montréal (Canada), May 28 - June 1, 1985
• Symmetries of plane partitions
• Nonintersecting paths, pfaffians, and plane partitions
• Product evaluations of Lefschetz determinants for Grassmannians and of determinants of multinomial coefficients
• New symmetric plane partition identities from invariant theory work of De Concini and Procesi
• Shifted Plane Partitions of Trapezoidal Shape
• THE CLASSICAL GROUPS. SPECTRAL ANALYSIS OF THEIR FINITE-DIMENSIONAL REPRESENTATIONS
• Branching Theorem for the Symplectic Groups

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