From Orbital Varieties to Alternating Sign Matrices

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dc.creatorDi Francesco, P.
dc.creatorZinn-Justin, P.
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:54:38Z
dc.date.available2026-07-07T06:54:38Z
dc.descriptionWe study a one-parameter family of vector-valued polynomials associated to each simple Lie algebra. When this parameter $q$ equals -1 one recovers Joseph polynomials, whereas at $q$ cubic root of unity one obtains ground state eigenvectors of some integrable models with boundary conditions depending on the Lie algebra; in particular, we find that the sum of its entries is related to numbers of Alternating Sign Matrices and/or Plane Partitions in various symmetry classes.
dc.identifierhttps://arxiv.org/abs/math-ph/0512047
dc.identifierhttp://arxiv.org/abs/math-ph/0512047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106010
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleFrom Orbital Varieties to Alternating Sign Matrices
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