5 papers · 1 filter
A local characterization of quasi-crystal graphs
Alan J. Cain, António Malheiro, Fátima Rodrigues +1
It is provided a local characterization of quasi-crystal graphs, by presenting a set of local axioms, similar to the ones introduced by Stembridge for crystal graphs of simply-lace…
Shifted Bender-Knuth moves and a shifted Berenstein-Kirillov group
Inês Rodrigues
The Bender-Knuth involutions on Young tableaux are known to coincide with the tableau switching on two adjacent letters, together with a swapping of those letters. Using the shifte…
A shifted Berenstein-Kirillov group and the cactus group
Inês Rodrigues
The Bender-Knuth involutions on semistandard Young tableaux are known to coincide with the tableau switching on horizontal border strips of two adjacent letters, together with the…
An action of the cactus group of shifted tableau crystals
Inês Rodrigues
Recently, Gillespie, Levinson and Purbhoo introduced a crystal-like structure for shifted tableaux, called the shifted tableau crystal. We introduce, on this structure, a shifted v…
An action of the cactus group on shifted tableau crystals
Inês Rodrigues
Recently, Gillespie, Levinson and Purbhoo introduced a crystal-like structure for shifted tableaux, called the shifted tableau crystal. We introduce a shifted analogue of the cryst…