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

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dc.creatorArdonne, Eddy
dc.creatorKedem, Rinat
dc.creatorStone, Michael
dc.date2005-04-18
dc.date2005-12-16
dc.date.accessioned2026-07-07T06:39:48Z
dc.date.available2026-07-07T06:39:48Z
dc.descriptionWe 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.
dc.description31 pages, 2 figures; v2: final version, to appear in CMP
dc.identifierhttps://arxiv.org/abs/math/0504364
dc.identifierhttp://arxiv.org/abs/math/0504364
dc.identifierComm. Math. Phys. 264, 427-464, (2006).
dc.identifierdoi:10.1007/s00220-005-1486-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101216
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleFermionic characters of arbitrary highest-weight integrable sl_{r+1}-modules
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