2 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
math.GT2010★ 1 cited
A note on geometric constructions of bi-invariant orderings
Tetsuya Ito
We construct bi-invariant total orderings of residually torsion-free nilpotent groups by using Chen's iterated integrals. This construction can be seen as a generalization of the M…