On the Combinatorics of Crystal Graphs, Ii. the Crystal Commutor
نویسنده
چکیده
We present an explicit combinatorial realization of the commutor in the category of crystals which was first studied by Henriques and Kamnitzer. Our realization is based on certain local moves defined by van Leeuwen.
منابع مشابه
The crystal commutor and Drinfeld’s unitarized R-matrix
Drinfeld defined a unitarized R-matrix for any quantum group Uq(g). This gives a commutor for the category of Uq(g) representations, making it into a coboundary category. Henriques and Kamnitzer defined another commutor which also gives Uq(g) representations the structure of a coboundary category. We show that a particular case of Henriques and Kamnitzer’s construction agrees with Drinfeld’s co...
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