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GradedLieAlgebras -- a package for doing computations in graded Lie algebras

Description

This package provides routines for doing computations in graded Lie algebras.

The package relies on algorithmic theory on graded Lie algebras developed by Clas Löfwall and Jan-Erik Roos in A Nonnilpotent 1-2-Presented Graded Hopf Algebra Whose Hilbert Series Converges in the Unit Circle, Adv. Math. 130 (1997), no. 2, 161–200.

See

for some illustrations of ways to use this package.

Caveat

Computations with squares in characteristic 2 is not supported in the current version.

Authors

Certification a gold star

Version 3.0 of this package was accepted for publication in volume 11 of The Journal of Software for Algebra and Geometry on 28 August 2020, in the article Software for doing computations in graded Lie algebras (DOI: 10.2140/jsag.2021.11.9). That version can be obtained from the journal.

Version

This documentation describes version 3.0 of GradedLieAlgebras.

Citation

If you have used this package in your research, please cite it as follows:

@misc{GradedLieAlgebrasSource,
  title = {{GradedLieAlgebras: computations in graded Lie algebras. Version~3.0}},
  author = {Clas Löfwall and Samuel Lundqvist},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/master/M2/Macaulay2/packages}}
}

@article{GradedLieAlgebrasArticle,
  title = {{Software for doing computations in graded Lie algebras}},
  author = {Clas Löfwall and Samuel Lundqvist},
  journal = {The Journal of Software for Algebra and Geometry},
  volume = {11},
  year = {2020},
}

Exports

For the programmer

The object GradedLieAlgebras is a package, defined in GradedLieAlgebras.m2, with auxiliary files in GradedLieAlgebras/.


The source of this document is in GradedLieAlgebras/doc.m2:41:0.