Symmetric functions and the Yangian decomposition of the Fock and Basic modules of the affine Lie algebra \hat{sl(N)}

dc.creatorUglov, Denis
dc.date1997-05-14
dc.date.accessioned2026-07-07T09:17:33Z
dc.date.available2026-07-07T09:17:33Z
dc.descriptionThe decompositions of the Fock and Basic modules of the affine Lie algebra \hat{sl(N)} into irreducible submodules of the Yangian algebra Y(gl(N)) are constructed. Each of the irreducible submodules admits the unique up to normalization eigenbasis of the maximal commutative subalgebra of the Yangian. The elements of this eigenbasis are identified with specializations of Macdonald symmetric functions where both parameters of these functions approach an N-th primitive root of unity.
dc.description45 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/q-alg/9705010
dc.identifierhttp://arxiv.org/abs/q-alg/9705010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153708
dc.subjectQuantum Algebra
dc.titleSymmetric functions and the Yangian decomposition of the Fock and Basic modules of the affine Lie algebra \hat{sl(N)}
dc.typetext

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