Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants

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dc.creatorFeigin, B.
dc.creatorKedem, R.
dc.creatorLoktev, S.
dc.creatorMiwa, T.
dc.creatorMukhin, E.
dc.date1999-08-02
dc.date2001-03-19
dc.date.accessioned2026-07-07T04:32:53Z
dc.date.available2026-07-07T04:32:53Z
dc.descriptionWe consider two types of quotients of the integrable modules of $\hat{sl}_2$. These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of level-$k$. We describe monomial bases for the spaces of coinvariants, which leads to a fermionic description of these spaces. For $k=1$, we give the explicit formulas for the characters. We also present recursion relations satisfied by the characters and the monomial bases.
dc.descriptionMinor changes
dc.identifierhttps://arxiv.org/abs/math-ph/9908003
dc.identifierhttp://arxiv.org/abs/math-ph/9908003
dc.identifierTransformation Groups, Vol. 6, No 1 (2001), p. 25-52
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58366
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleCombinatorics of the $\hat{sl}_2$ Spaces of Coinvariants
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