Abstract
We introduce and study the so-called serpentine representations of the infinite symmetric group \({\mathfrak{S}_\mathbb{N}}\), which turn out to be closely related to the basic representation of the affine Lie algebra \({\widehat{\mathfrak{sl}_2}}\) and representations of the Virasoro algebra.
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Supported by the grants RFBR 13-01-12422-ofi-m and RFBR 14-01-00373-a.
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Tsilevich, N.V., Vershik, A.M. The Serpentine Representation of the Infinite Symmetric Group and the Basic Representation of the Affine Lie Algebra \({\widehat{\mathfrak{sl}_2}}\) . Lett Math Phys 105, 11–25 (2015). https://doi.org/10.1007/s11005-014-0737-7
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DOI: https://doi.org/10.1007/s11005-014-0737-7