%0 Journal Article
%T Infinite tri-symmetric group, multiplication of double cosets, and checker topological field theories
%A Yury A Neretin
%J Mathematics
%D 2009
%I arXiv
%R 10.1093/imrn/rnr027
%X 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.
%U http://arxiv.org/abs/0909.4739v1