"Poisson boundary of the dual of SUq(n)"
Author(s): Izumi M, Neshveyev S, Tuset L
Source: COMMUNICATIONS IN MATHEMATICAL PHYSICS 262 (2): 505-531 MAR 2006
Abstract: We prove that for any non-trivial product-type action a of SUq(n) (0 . The proof relies on a connection between the Poisson integral and the Berezin transform. Our main technical result says that a sequence of Berezin transforms defined by a random walk on the dominant weights of SU(n) converges to the identity on the quantum flag manifold.