Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories

Yury A. Neretin

Type: Article

Publication Date: 2011-03-16

Citations: 19

DOI: https://doi.org/10.1093/imrn/rnr027

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.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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+ PDF Chat	Several Remarks on Groups of Automorphisms of Free Groups	2016	Yury A. Neretin
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+	Thoma's theorem and representations of the infinite bisymmetric group	1994	Andreĭ Okounkov
+	Topological quantum field theories	1988	Michael Atiyah
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