The Bloch-okounkov Correlation Functions, a Classical Half-integral Case
نویسنده
چکیده
Bloch and Okounkov’s correlation function on the infinite wedge space has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, and certain character functions of ĝl ∞ modules of level one. Recent works have calculated these character functions for higher levels for ĝl ∞ 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.
منابع مشابه
The Bloch-okounkov Correlation Functions of Classical Type Ii
Bloch and Okounkov’s correlation function on the infinite wedge space has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, and certain character functions of ĝl ∞ modules of level one. Recent works have calculated these character functions for higher levels for ĝl ∞ and its Lie subalgebras of classical type. Here we obtain these functions for the subalgebra of type D of h...
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