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Fermionic characters of arbitrary highest-weight integrable sl_{r+1}-modules

Eddy Ardonne·Rinat Kedem·Michael Stone
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Abstract

We give a formula for the q-characters of arbitrary highest-weight integrable modules of sl_{r+1} as a linear combination of the fermionic q-characters of special fusion products of integrable modules. The coefficients in the sum are entries of the inverse matrix of generalized Kostka polynomials, which are in Z[q^{-1}]. In this paper we prove the relation between the character of the Feigin-Loktev graded tensor product and the generalized Kostka polynomial. We also prove the fermionic formula for the q-characters of the (unrestricted) fusion products of rectangular highest-weight integrable g-modules.

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BibTeXRIS

Eddy Ardonne, Rinat Kedem, Michael Stone. 2005-12-16. Fermionic characters of arbitrary highest-weight integrable sl_{r+1}-modules. https://doi.org/10.1007/s00220-005-1486-3

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