Explicit computation of the cactus group action via Bender-Knuth generators on the subset of short semi-standard Young tableaux, with comparison to the full set.
Kirillov,\,Introduction to Lie Groups and Lie Algebras, 1mm http://www.math.sunysb.edu/ kirillov/liegroups/ link
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On the action of Bender-Knuth generators of cactus group on the set of short semi-standard Young tableaux
Explicit computation of the cactus group action via Bender-Knuth generators on the subset of short semi-standard Young tableaux, with comparison to the full set.