The Bloch-okounkov Correlation Functions of Negative Levels
نویسندگان
چکیده
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 ĝl ∞ and its classical Lie subalgebras of positive levels by the authors. In this paper we extend further these results and compute the correlation functions as well as the q-dimensions for modules of ĝl ∞ and its classical subalgebras at negative levels.
منابع مشابه
The Bloch-okounkov Correlation Functions at Higher Levels
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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