Brauer diagrams, updown tableaux and nilpotent matrices

DOI10.1023/A:1012776203570zbMath0999.05099OpenAlexW1562315860MaRDI QIDQ1610689

Itaru Terada

Publication date: 20 August 2002

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012776203570

zbMATH Keywords

Lie algebratableauxsymplectic formYoung diagramnilpotent matrixRobinson-Schensted correspondenceBrauer diagrams

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items (4)

Generating Functions for Domino Matchings in the $2\times k$ Game of Memory ⋮ Tiling bijections between paths and Brauer diagrams ⋮ Discriminants of Brauer algebras. ⋮ Finite posets and Ferrers shapes

Cites Work

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• Reflection and algorithm proofs of some more Lie group dual pair identities
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• An extension of Schensted's theorem
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Balanced tableaux
• Oscillating tableaux and nonintersecting lattice paths
• Longest Increasing and Decreasing Subsequences
• Acyclic Digraphs, Young Tableaux and Nilpotent Matrices
• Dilworth Numbers, Incidence Maps and Product Partial Orders
• The Structure of Semisimple Symmetric Spaces
• An analogue to Robinson-Schensted correspondence for oscillating tableaux

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