Infinite Brauer semigroup, "pascalization" of the Bratteli diagrams, corresponding central measures and characters
Aix-Marseille Université - Site St Charles
3, place Victor Hugo - case 39
13331 MARSEILLE Cedex 03
Representation theory of the infinite Brauer semigroup naturally leads to the operation on Bratteli diagrams, that was called "pascalization" by A.Vershik and the speaker. This operation is connected with the simple random walk on these diagrams. We will show how to describe the ergodic central measures for the resulting class of diagrams.
The talk will be connected to the previous one, I’ll shortly remind the necessary definitions and theorems.