Geodesic
Coboundary categories and local rules
Bruce W. Westbury1
1University of Texas at Dallas
The electronic journal of combinatorics, Tome 25 (2018) no. 4
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First we develop the theory of local rules for coboundary categories. Then we describe the local rules in two main cases. First for the quantum groups in general and in the seminormal representations of the Hecke algebras. Then for crystals in general and specifically for crystals of minuscule representations. Finally we show how growth diagrams can be extended to construct the action of the cactus group on highest weight words.
DOI : 10.37236/7019
Classification : 05E10
Mots-clés : cactus group, evacuation, promotion

Bruce W. Westbury  1

1 University of Texas at Dallas 
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Bruce W. Westbury. Coboundary categories and local rules. The electronic journal of combinatorics, Tome 25 (2018) no. 4. doi: 10.37236/7019

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