The Bloch-Okounkov Correlation Functions of Classical Type
نویسندگان
چکیده
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...
متن کاملThe 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...
متن کاملThe Bloch-okounkov Correlation Functions, a Classical Half-integral Case
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 establish an explicit formula for the n-point correlation functions in the sense of Bloch-Okounkov for the irreducible representations of ĝl ∞ and W1+∞ of arbitrary positive integral levels.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2007
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-007-0344-x