Promotion permutations for tableaux

Cites Work

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A simple bijection between standard \(3\times n\) tableaux and irreducible webs for \(\mathfrak{sl}_{3}\)
Proofs and generalizations of a homomesy conjecture of Propp and Roby
Rational tableaux and the tensor algebra of \(gl_ n\)
Promotion and cyclic sieving via webs
Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\)
Cyclic sieving, promotion, and representation theory
Promotion and evacuation
Dual equivalence with applications, including a conjecture of Proctor
An analogue of Jeu de taquin for Littelmann's crystal paths
Web bases for \(\text{sl}(3)\) are not dual canonical
Promotion des morphismes d'ensembles ordonnes
Spiders for rank 2 Lie algebras
Coboundary categories and local rules
Promotion of Kreweras words
The Berenstein-Kirillov group and cactus groups
Promotion on oscillating and alternating tableaux and rotation of matchings and permutations
A Sundaram type bijection for \(\mathrm{SO}(2k+1)\): vacillating tableaux and pairs consisting of a standard Young tableau and an orthogonal Littlewood-Richardson tableau
An explicit bijection between semistandard tableaux and non-elliptic \(sl _{3}\) webs
Cyclic sieving of increasing tableaux and small Schröder paths
Crystals and coboundary categories
Enumeration of plane partitions
Crystalizing the q-analogue of universal enveloping algebras
Crystal Bases
Canonical Bases Arising from Quantized Enveloping Algebras
The invariant theory of binary forms
Canonical Bases Arising from Quantized Enveloping Algebras. II
Schubert problems with respect to osculating flags of stable rational curves
On the combinatorics of crystal graphs, II. The crystal commutor
Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
Promotion on generalized oscillating tableaux and web rotation
Complementary algorithms for tableaux
A concise proof of the Littlewood-Richardson rule
Tableau evacuation and webs
Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux
A cyclic sieving phenomenon for symplectic tableaux

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