GAP Package CKForms

The CKForms package is used for finding standard compact Clifford-Klein forms of a non-compact homogeneous space \(G/H\) where \(G\) is a simple linear Lie group and \(H\) is a non-compact reductive Lie subgroup of \(G\).

The current version of this package is version 2.0.2, released on 2021-08-25. For more information, please refer to the package manual. There is also a README file.

Dependencies

This package requires GAP version >=4.10.

The following other GAP packages are needed:

  • sla >=1.5.3
  • CoReLG >=1.54

Authors

  • Maciej Bocheński, email: , Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn
  • Piotr Jastrzębski, email: , Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn
  • Aleksy Tralle, email: , Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn

Abstract

In this package we develop algorithms generating triples \((\mathfrak{g},\mathfrak{h},\mathfrak{l})\) of lie algebras (\(\mathfrak{h}\) and \(\mathfrak{l}\) are subalgebras of \(\mathfrak{g}\)) such that the corresponding triples of Lie groups \((G,H,L)\) fulfill some necessary conditions required for triples inducing standard compact Clifford-Klein forms. The program is used for searching for standard compact Cliiford-Klein forms.

Feedback

For bug reports, feature requests and suggestions, please use the issue tracker.