1/N phenomenon for some symmetry classes of the odd alternating sign matrices

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dc.creatorStroganov, Yu. G.
dc.date2008-07-16
dc.date.accessioned2026-07-07T09:50:42Z
dc.date.available2026-07-07T09:50:42Z
dc.descriptionWe consider the alternating sign matrices of the odd order that have some kind of central symmetry. Namely, we deal with matrices invariant under the half-turn, quarter-turn and flips in both diagonals. In all these cases, there are two natural structures in the centre of the matrix. For example, for the matrices invariant under the half-turn the central element is equal $\pm 1$. It was recently found that $A^+_{HT}(2m+1)/A^-_{HT}(2m+1)$=(m+1)/m. We conjecture that similar very simple relations are valid in the two remaining cases.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/0807.2520
dc.identifierhttp://arxiv.org/abs/0807.2520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165030
dc.subjectMathematical Physics
dc.title1/N phenomenon for some symmetry classes of the odd alternating sign matrices
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