Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories
Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories
We consider a product of three copies of infinite symmetric group and its representations spherical with respect to the diagonal subgroup. We show that such representations generate functors from a certain category of simplicial two-dimensional surfaces to the category of Hilbert spaces and bounded linear operators.