Braid representations for Lie type E_N

Hans Wenzl
University of California at San Diego
Mathematics

We compute braid representations related to certain representations
of quantum groups of Lie type E_N on a path basis. Similar
representations have appeared before for classical Lie types
in connection with SOS models. As an application, we obtain
a minimal set of generators for the centralizer of the action
of the Lie group G of type E6 or E7 on tensor powers of
one of its minuscule representations.


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