2 papers
math.OA2000
Some irreducible free group representations in which a linear combination of the generators has an eigenvalue
William L. Paschke
We construct irreducible unitary representations of a finitely generated free group which are weakly contained in the left regular representation and in which a given linear combin…
math.OA1999
Pure eigenstates for the sum of generators of the free group
William L. Paschke
We consider certain positive definite functions on a finitely generated free group G that are defined with respect to a given basis in terms of word length and the number of negati…