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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.GR2010★ 2 cited
Space of group orderings, quasi morphisms and bounded cohomology
Tetsuya Ito
For a group , we construct a quasi morphism from its left orderings and the map from the space of left orderings to the second bounded cohomology. We show that these maps reflec…