Description
Aiming for a revival of the dormant theory of crystallographic complex reflection groups, we give Coxeter-like reflection presentations for the top family of such groups. These new presentations behave à la Coxeter—encoding many of the group's properties at a glance—and further achieve the braid theorem, allowing to deform into the generic Hecke algebra. As part of a final showcase of the theory's promising future, the whole GDAHA family is rethought of as an elementary example in this new lingo.
Author
Davide Dal Martello
(University of Padua)