Yang-Baxter Solutions.pdf

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Preview of Yang-Baxter Solutions
🔗 Source: ilariacolazzo.info
📊 Size: 300 KB
👤 Author: Ilaria Colazzo
⬇️ Downloads: 216

Summary

A pair (X, r) is a solution to the Yang-Baxter equation (YBE) if r : X × X → X × X satisfies (r × id)(id ×r)(r × id) = (id ×r)(r × id)(id ×r), where X is a non-empty set. Solutions can be classified as bijective, involutive, finite, right non-degenerate, left non-degenerate, or non-degenerate based on properties of the map r. Examples of solutions include r(x, y) = (x, y), r(x, y) = (y, x), and various maps defined using group operations.

Description

A pair (X, r) is a solution to the Yang-Baxter equation (YBE) if r : X × X → X × X satisfies (r × id)(id ×r)(r × id) = (id ×r)(r × id)(id ×r), where X is a...

Technical Information

  • File Format: PDF
  • File Size: 300 KB
  • Pages: 18
  • Language: EN
  • Author: Ilaria Colazzo
  • Total Downloads: 216
  • Last Updated: 12 hours ago

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