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NoCK

Computing obstruction for the existence of compact Clifford-Klein form

Version 1.4

October 2019

Maciej Bocheński
Email: mabo@matman.uwm.edu.pl
Address:
Faculty of Mathematics and Computer Science,
University of Warmia and Mazury in Olsztyn
Sloneczna 54 Street,
10-710 Olsztyn, Poland

Piotr Jastrzębski
Email: piojas@matman.uwm.edu.pl
Homepage: http://wmii.uwm.edu.pl/~piojas/
Address:
Faculty of Mathematics and Computer Science,
University of Warmia and Mazury in Olsztyn
Sloneczna 54 Street,
10-710 Olsztyn, Poland

Anna Szczepkowska
Email: anna.szczepkowska@matman.uwm.edu.pl
Address:
Faculty of Mathematics and Computer Science,
University of Warmia and Mazury in Olsztyn
Sloneczna 54 Street,
10-710 Olsztyn, Poland

Aleksy Tralle
Email: tralle@matman.uwm.edu.pl
Homepage: http://wmii.uwm.edu.pl/~tralle/
Address:
Faculty of Mathematics and Computer Science,
University of Warmia and Mazury in Olsztyn
Sloneczna 54 Street,
10-710 Olsztyn, Poland

Artur Woike
Email: awoike@matman.uwm.edu.pl
Homepage: http://wmii.uwm.edu.pl/~awoike/
Address:
Faculty of Mathematics and Computer Science,
University of Warmia and Mazury in Olsztyn
Sloneczna 54 Street,
10-710 Olsztyn, Poland

Abstract

In this package we develop functions for an algorithm designed to find homogeneous spaces of semisimple non-compact Lie groups which do not admit compact Clifford-Klein forms.

Copyright

NoCK 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.

Acknowledgements

We thank Willem de Graaf for his help in getting some literature sources.

Contents

1 Notation
2 Obstruction for the existence of compact Clifford-Klein form
3 Algorithm example
References
Index

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