Promotion on oscillating and alternating tableaux and rotation of matchings and permutations

DOI10.5802/alco.87zbMath1433.05329arXiv1804.06736OpenAlexW3006267488MaRDI QIDQ2297551

Martin Rubey, Stephan Pfannerer, Bruce W. Westbury

Publication date: 20 February 2020

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

Full work available at URL: https://arxiv.org/abs/1804.06736

zbMATH Keywords

evacuationpromotioncactus group

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Group actions on combinatorial structures (05E18)

Related Items (5)

Skew characters and cyclic sieving (extended abstract) ⋮ Cyclic descents, matchings and Schur-positivity ⋮ Promotion of Kreweras words ⋮ Skew characters and cyclic sieving ⋮ Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion

Cites Work

• Unnamed Item
• Unnamed Item
• Webs and quantum skew Howe duality
• Rational tableaux and the tensor algebra of \(gl_ n\)
• Invariant tensors and the cyclic sieving phenomenon
• Promotion and cyclic sieving via webs
• An analogue of Jeu de taquin for Littelmann's crystal paths
• Web bases for \(\text{sl}(3)\) are not dual canonical
• Schensted algorithms for dual graded graphs
• A Sundaram type bijection for \(\mathrm{SO}(3)\): vacillating tableaux and pairs of standard Young tableaux and orthogonal Littlewood-Richardson tableaux
• The monodromy of real Bethe vectors for the Gaudin model
• Spiders for rank 2 Lie algebras
• The Berenstein-Kirillov group and cactus groups
• Crystals and coboundary categories
• Crossings and alignments of permutations
• On algebras which are connected with the semisimple continuous groups
• Combinatorics of symplectic invariant tensors
• WHAT IS...Cyclic Sieving?
• Canonical Bases Arising from Quantized Enveloping Algebras. II
• On the combinatorics of crystal graphs, II. The crystal commutor
• Quelques remarques sur une Construction de Schensted.
• Promotion on generalized oscillating tableaux and web rotation

This page was built for publication: Promotion on oscillating and alternating tableaux and rotation of matchings and permutations