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Rig is a GAP package for computations related to racks, quandles, Nichols algebras.

Features

Racks and quandles

  • groups associated to finite racks and quandles
  • complete list of non-isomorphic indecomposable quandles of order < 36
  • rack and quandle homology
  • quandle colorings of knots
  • quandle 2-cocycle invariants of knots
  • Nelson's polynomials invariants

Nichols algebras

  • derivations
  • dimensions and relations for gbnp package

Authors

  • L. Vendramin
  • M. Graña (retired)

Cite as

If you have used Rig in the preparation of a paper please cite it as:

Contributions

You are welcome to contribute with code, patches, ideas, testing, wiki, comments, documentation. Click here to see the list of contributors.

Usage

Follow this link if you don't know how to install the package.

To load the package:

gap> LoadPackage("rig");

If you want to see some examples follow this link.

Examples

Here you will find many examples (constructions of racks and quandles, quandle 2-cocycles abelian extensions, quandle colorings and 2-cocyle invariants of knots, calculations related to Nichols algebras...

Download

Latest stable version here (tar.gz), or here (zip), version 0.9.

References

Here you can find a comprehensive list of references relevant to quandles and related topics (work in progress). Help me to improve this list!

Links

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