Goto Chapter: Top 1 2 3 Bib Ind

ccalgs

Descendants of nilpotent associative algebras and computation of coclass graphs for such algebras

Version 1.1

17 January 2022

Bettina Eick
Email: beick@tu-bs.de
Homepage: http://www.iaa.tu-bs.de/beick/

Tobias Moede
Email: t.moede@tu-bs.de
Homepage: https://www.tu-braunschweig.de/iaa/personal/moede

Copyright

ccalgs package is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

1 Introduction

1.1 Nilpotent associative algebras and canonical forms

1.1-1 NAAlgByCanoForm
1.1-2 CanoFormByNAAlg

2 Descendants of nilpotent associative algebras

2.1 Immediate descendants

  2.1-1 ImmediateDescendantsOfCanoForm
  2.1-2 ImmediateDescendantsOfCanoForm
  2.1-3 ImmediateDescendantsOfCanoForm
  2.1-4 IsCapableCanoForm

2.2 Classifying nilpotent associative algebras by dimension

2.2-1 CanoFormsByDimAndGens
2.2-2 CanoFormsByDim

2.3 Enumerating nilpotent associative algebras

  2.3-1 NumberOfImmediateDescendantsOfCanoForm
  2.3-2 NumberOfImmediateDescendantsOfCanoForm
  2.3-3 NumberOfImmediateDescendantsOfCanoForm
  2.3-4 NumberOfNAAlgsByDimAndGens
  2.3-5 NumberOfNAAlgsByDim

3 Coclass theory and coclass graphs

3.1 Calculating coclass and determine coclass settledness

3.1-1 CoclassOfCanoForm
3.1-2 IsCoclassSettledCanoForm

3.2 Calculating coclass graphs

  3.2-1 RootsOfCoclassGraph
  3.2-2 RootsOfCoclassGraphByRank
  3.2-3 DescendantTreeOfCanoForm

3.3 Plotting coclass graphs

  3.3-1 PlotDescendantTreeOfCanoForm
  3.3-2 PlotCoclassGraph
  3.3-3 GetSelectedCanoForms

References

Index

[Top of Book] [Contents] [Next Chapter]

Goto Chapter: Top 1 2 3 Bib Ind

generated by GAPDoc2HTML