Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard $\tilde{\gsl}(\ell+1,\C)$-modules

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dc.creatorTrupčević, Goran
dc.date2008-10-29
dc.date.accessioned2026-07-07T10:13:50Z
dc.date.available2026-07-07T10:13:50Z
dc.descriptionLet $\tilde{\mathfrak g}$ be an affine Lie algebra of the type $A_\ell^{(1)}$. We find a combinatorial basis of Feigin-Stoyanovsky's type subspace $W(Λ)$ given in terms of difference and initial conditions. Linear independence of the generating set is proved inductively by using coefficients of intertwining operators. A basis of $L(Λ)$ is obtained as an "inductive limit" of the basis of $W(Λ)$.
dc.description27 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0810.5152
dc.identifierhttp://arxiv.org/abs/0810.5152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172670
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B67, 17B69, 05A19
dc.titleCombinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard $\tilde{\gsl}(\ell+1,\C)$-modules
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