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<h1 >NoCK</h1 >
<h2>Computing obstruction for the existence of compact Clifford-Klein form </h2>
<p>
1.5</p>
<p>
30 March 2022
</p>
</div >
<p><b>
Maciej Bocheński
</b>
<br />Email: <span class="URL" ><a href="mailto:mabo@matman.uwm.edu.pl" >mabo@matman.uwm.edu.pl</a></span >
</p><p><b>
Piotr Jastrzębski
</b>
<br />Email: <span class="URL" ><a href="mailto:piojas@matman.uwm.edu.pl" >piojas@matman.uwm.edu.pl</a></span >
<br />Homepage: <span class="URL" ><a href="http://wmii.uwm.edu.pl/~piojas/ " >http://wmii.uwm.edu.pl/~piojas/</a></span >
</p><p><b>
Anna Szczepkowska
</b>
<br />Email: <span class="URL" ><a href="mailto:anna.szczepkowska@matman.uwm.edu.pl" >anna.szczepkowska@matman.uwm.edu.pl</a></span >
</p><p><b>
Aleksy Tralle
</b>
<br />Email: <span class="URL" ><a href="mailto:tralle@matman.uwm.edu.pl" >tralle@matman.uwm.edu.pl</a></span >
<br />Homepage: <span class="URL" ><a href="http://wmii.uwm.edu.pl/~tralle/ " >http://wmii.uwm.edu.pl/~tralle/</a></span >
</p><p><b>
Artur Woike
</b>
<br />Email: <span class="URL" ><a href="mailto:awoike@matman.uwm.edu.pl" >awoike@matman.uwm.edu.pl</a></span >
<br />Homepage: <span class="URL" ><a href="http://wmii.uwm.edu.pl/~awoike " >http://wmii.uwm.edu.pl/~awoike</a></span >
</p>
<p><a id="X7AA6C5737B711C89" name="X7AA6C5737B711C89" ></a></p>
<h3>Abstract</h3>
<p>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.</p>
<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>
<h3>Copyright</h3>
<p>NoCK Package is free software; you can redistribute it and/or modify it under the terms of the <span class="URL" ><a href="https://www.fsf.org/licenses/gpl.html " >GNU General Public License</a></span > as published by the Free Software Foundation; either version 2 of the License, or (at your option ) any later version.</p>
<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA" ></a></p>
<h3>Acknowledgements</h3>
<p>We thank Willem de Graaf for his help in getting some literature sources.</p>
<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>
<div class="contents" >
<h3>Contents<a id="contents" name="contents" ></a></h3>
<div class="ContChap" ><a href="chap1_mj.html#X7DD31B407B9402A3" >1 <span class="Heading" >Notation</span ></a>
</div >
<div class="ContChap" ><a href="chap2_mj.html#X7DD2840E797415E3" >2 <span class="Heading" >Obstruction for the existence of compact Clifford-Klein form </span ></a>
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X805C42557996F58A" >2.1 <span class="Heading" >Technical functions</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X832D9E887973AABE" >2.1-1 NonCompactDimension</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X868FC1B77B4B4D4C" >2.1-2 PCoefficients</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X827DC41787C8BC7B" >2.1-3 PCalculate</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X87164CA87A56E5B8" >2.1-4 AllZeroDH</a></span >
</div ></div >
</div >
<div class="ContChap" ><a href="chap3_mj.html#X7F57F15D7A4099A1" >3 <span class="Heading" >Algorithm example</span ></a>
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<div class="ContChap" ><a href="chapBib_mj.html" ><span class="Heading" >References</span ></a></div >
<div class="ContChap" ><a href="chapInd_mj.html" ><span class="Heading" >Index</span ></a></div >
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