Homological realization of the restricted Kostka polynomials

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dc.creatorFeigin, B.
dc.creatorFeigin, E.
dc.date2005-03-03
dc.date2006-01-09
dc.date.accessioned2026-07-07T06:39:31Z
dc.date.available2026-07-07T06:39:31Z
dc.descriptionIn this paper we give two realizations of the restricted Kostka polynomials for $\sl_2$. Firstly we identify the restricted Kostka polynomials with a characters of the zero homology of the current algebra with a coefficients in a certain modules. As a corollary we reobtain the alternating sum formula. Secondly we show that the restricted Kostka polynomials are a $q$-multiplicities of the decomposition of the certain integrable $\hat{\sl}_2$-modules to the irreducible components. This allows to write a kind of fermionic formula for the Virasoro unitary models.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0503058
dc.identifierhttp://arxiv.org/abs/math/0503058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101107
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B67
dc.titleHomological realization of the restricted Kostka polynomials
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