Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis

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dc.creatorFrenkel, Igor
dc.creatorMalkin, Anton
dc.creatorVybornov, Maxim
dc.date2002-06-09
dc.date.accessioned2026-07-07T04:29:15Z
dc.date.available2026-07-07T04:29:15Z
dc.descriptionWe suggest a (conjectural) construction of a basis in the plus part of the affine Lie algebra of type ADE indexed by irreducible components of certain quiver varieties. This construction is closely related to a string-theoretic construction of a Lie algebra of BPS states. We then study the new combinatorial questions about the (classical) root systems naturally arising from our constructions and Lusztig's semicanonical basis.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0206012
dc.identifierhttp://arxiv.org/abs/math-ph/0206012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57083
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleQuiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis
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