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An algebraic analog of the Virasoro group. (English) Zbl 1045.22022
Summary: The group of diffeomorphisms of a circle is not an infinite-dimensional algebraic group, though in many ways it acts as if it were. Here we construct an algebraic model for this object, and discuss some of its representations, which appear in the Kontsevich-Witten theory of 2D topological gravity.

MSC:
22F50 Groups as automorphisms of other structures
05E05 Symmetric functions and generalizations
81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory
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