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Synapse
February 27, 20260 citationsOpen Access

Alternating Sign Matrix Bijections: Marvelous, Mysterious, Missing

JSJessica Striker

Key Points

  • The aim is to explore bijections that relate alternating sign matrices to various mathematical and physical objects.
  • Discussed various bijections involving alternating sign matrices.
  • Examined the properties uncovered through these transformations.
  • Investigated recent progress in identifying a missing bijection.
  • Revealed surprising properties of alternating sign matrices through established bijections.
  • Uncovered new mathematical mysteries linked to these transformations.
  • Highlighted ongoing research efforts towards finding a missing bijection.

Abstract

A bijection transforms one type of mathematical object into another. Such transformations provide new perspectives on these objects, revealing surprising properties and uncovering new mysteries. We discuss bijections from alternating sign matrices to other objects in mathematics and physics and recent progress in the search for a missing bijection.

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Cite This Study

Jessica Striker (2026) studied this question.

synapsesocial.com/papers/69a1355fed1d949a99abf256https://doi.org/10.14760/snap-2026-003-en
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