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The Bloch-Okounkov correlation functions, a classical half-integral case

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 نشر من قبل David G Taylor
 تاريخ النشر 2008
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 تأليف David G. Taylor




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Bloch and Okounkovs correlation function on the infinite wedge space has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, and certain character functions of $hgl_infty$-modules of level one. Recent works have calculated these character functions for higher levels for $hgl_infty$ and its Lie subalgebras of classical type. Here we obtain these functions for the subalgebra of type $D$ of half-integral levels and as a byproduct, obtain $q$-dimension formulas for integral modules of type $D$ at half-integral level.

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