The Bloch-okounkov Correlation Functions of Classical Type Ii
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
Bloch and Okounkov introduced an n-point correlation function on the infinite wedge space and found an elegant closed formula in terms of theta functions. This function has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, etc, and it can also be interpreted as correlation functions on integrable ĝl ∞ -modules of level one. Such ĝl ∞ -correlation functions at higher levels...
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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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Bloch and Okounkov introduced an n-point correlation function on the fermionic Fock space and found a closed formula in terms of theta functions. This function affords several distinguished interpretations and in particular can be formulated as correlation functions on irreducible ĝl ∞ -modules of level one. These correlation functions have been generalized for irreducible integrable modules of...
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We introduce certain correlation functions (graded q–traces) associated to vertex operator algebras and superalgebras which we refer to as n–point functions. These naturally arise in the studies of representations of Lie algebras of differential operators on the circle [22]–[23], [25]. We investigate their properties and consider the corresponding graded q–traces in parallel with the passage fr...
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