Mathematics – Representation Theory
Scientific paper
2005-04-18
Comm. Math. Phys. 264, 427-464, (2006).
Mathematics
Representation Theory
31 pages, 2 figures; v2: final version, to appear in CMP
Scientific paper
10.1007/s00220-005-1486-3
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.
Ardonne Eddy
Kedem Rinat
Stone Michael
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