Traces on Infinite - Dimensional Brauer Algebras ∗
نویسندگان
چکیده
We describe the central measures for the random walk on graded graphs. Using this description , we obtain the list of all finite traces on three infinite-dimensional algebras: on the Brauer algebra, on the partition algebra, and on the walled Brauer algebra. For the first two algebras, these lists coincide with the list of all finite traces of the infinite symmetric group. For the walled Brauer algebra, the list of finite traces coincide with the list of finite traces of the square of the latter group.
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