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math.GR2012
Reading the dual Garside length of braids from homological and quantum representations
Tetsuya Ito
We show that Lawrence's representation and linear representations from quantum sl_2 called generic highest weight vectors detect the dual Garside length of braids in a simple and n…
math.GR2012★ 4 cited
Lawrence-Krammer-Bigelow representations and dual Garside length of braids
Tetsuya Ito, Bert Wiest
We show that the span of the variable in the Lawrence-Krammer-Bigelow representation matrix of a braid is equal to the twice of the dual Garside length of the braid, as was con…