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arXiv · 0909.4739

Infinite tri-symmetric group, multiplication of double cosets, and checker topological field theories

Yury A Neretin
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Abstract

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.

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Yury A Neretin. 2009-09-25. Infinite tri-symmetric group, multiplication of double cosets, and checker topological field theories. https://doi.org/10.1093/imrn%2Frnr027

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