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<h3>References</h3>


<p><a id="biBcolmcgov" name="biBcolmcgov"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>CM93</span>]   <b class='BibAuthor'>Collingwood, D. H. and McGovern, W. M.</b>,
 <i class='BibTitle'>Nilpotent orbits in semisimple Lie algebras</i>,
 <span class='BibPublisher'>Van Nostrand Reinhold Co.</span>,
 <span class='BibSeries'>Van Nostrand Reinhold Mathematics Series</span>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1993</span>).
</p>


<p><a id="biBgra15" name="biBgra15"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>dG11</span>]   <b class='BibAuthor'>de Graaf, W. A.</b>,
 <i class='BibTitle'>Computing representatives of nilpotent orbits of
      θ-groups</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>46</em>
 (<span class='BibYear'>2011</span>),
 <span class='BibPages'>438--458</span>.
</p>


<p><a id="biBclosure" name="biBclosure"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>dGVY12</span>]   <b class='BibAuthor'>de Graaf, W. A., Vinberg, E. B. and Yakimova, O. S.</b>,
 <i class='BibTitle'>An effective method to compute closure ordering for nilpotent
              orbits of θ-representations</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>371</em>
 (<span class='BibYear'>2012</span>),
 <span class='BibPages'>38--62</span>.
</p>


<p><a id="biBelasgra" name="biBelasgra"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GE09</span>]   <b class='BibAuthor'>Graaf, W. A. d. and Elashvili, A. G.</b>,
 <i class='BibTitle'>Induced nilpotent orbits of the simple Lie algebras 
                  of exceptional type</i>,
 <span class='BibJournal'>Georgian Mathematical Journal</span>,
 <em class='BibVolume'>16</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2009</span>),
 <span class='BibPages'>257-278</span><br />
(<span class='BibNote'>{\tt arXiv:0905.2743v1}[math.RT]</span>).
</p>


<p><a id="biBwdg08" name="biBwdg08"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Gra08</span>]   <b class='BibAuthor'>Graaf, W. A. d.</b>,
 <i class='BibTitle'>Computing with nilpotent orbits in simple Lie algebras 
                  of exceptional type</i>,
 <span class='BibJournal'>LMS J. Comput. Math.</span>,
 <em class='BibVolume'>11</em>
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>280-297 (electronic)</span>.
</p>


<p><a id="biBgrasss" name="biBgrasss"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Gra11</span>]   <b class='BibAuthor'>Graaf, W. A. d.</b>,
 <i class='BibTitle'>Constructing semisimple subalgebras of semisimple Lie
      algebras</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>325</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2011</span>),
 <span class='BibPages'>416--430</span>.
</p>


<p><a id="biBhelgason" name="biBhelgason"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hel78</span>]   <b class='BibAuthor'>Helgason, S.</b>,
 <i class='BibTitle'>Differential geometry, Lie groups, and symmetric
      spaces</i>,
 <span class='BibPublisher'>Academic Press Inc. [Harcourt Brace Jovanovich
      Publishers]</span>,
 <span class='BibSeries'>Pure and Applied Mathematics</span>,
 <em class='BibVolume'>80</em>,
 <span class='BibAddress'>New York</span>
 (<span class='BibYear'>1978</span>).
</p>


<p><a id="biBhesselink" name="biBhesselink"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hes79</span>]   <b class='BibAuthor'>Hesselink, W. H.</b>,
 <i class='BibTitle'>Desingularizations of varieties of nullforms</i>,
 <span class='BibJournal'>Invent. Math.</span>,
 <em class='BibVolume'>55</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1979</span>),
 <span class='BibPages'>141--163</span>.
</p>


<p><a id="biBpopov" name="biBpopov"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Pop03</span>]   <b class='BibAuthor'>Popov, V. L.</b>,
 <i class='BibTitle'>The cone of Hilbert null forms</i>,
 <span class='BibJournal'>Tr. Mat. Inst. Steklova</span>,
 <em class='BibVolume'>241</em> (<span class='BibNumber'>Teor. Chisel, Algebra i Algebr. Geom.</span>)
 (<span class='BibYear'>2003</span>),
 <span class='BibPages'>192--209</span><br />
(<span class='BibNote'>English translation in: {\em Proc. Steklov Inst. Math.} 241 (2003),
      no. 1, 177--194</span>).
</p>


<p><a id="biBvinberg3" name="biBvinberg3"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Vin75</span>]   <b class='BibAuthor'>Vinberg, E. B.</b>,
 <i class='BibTitle'>The classification of nilpotent elements of graded Lie
              algebras</i>,
 <span class='BibJournal'>Dokl. Akad. Nauk SSSR</span>,
 <em class='BibVolume'>225</em> (<span class='BibNumber'>4</span>)
 (<span class='BibYear'>1975</span>),
 <span class='BibPages'>745-748</span>.
</p>


<p><a id="biBvinberg" name="biBvinberg"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Vin76</span>]   <b class='BibAuthor'>Vinberg, E. B.</b>,
 <i class='BibTitle'>The Weyl group of a graded Lie algebra</i>,
 <span class='BibJournal'>Izv. Akad. Nauk SSSR Ser. Mat.</span>,
 <em class='BibVolume'>40</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1976</span>),
 <span class='BibPages'>488-526, 709</span><br />
(<span class='BibNote'>English translation: Math. USSR-Izv. 10, 463-495 (1976)</span>).
</p>


<p><a id="biBvinberg2" name="biBvinberg2"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Vin79</span>]   <b class='BibAuthor'>Vinberg, E. B.</b>,
 <i class='BibTitle'>Classification of homogeneous nilpotent elements of a
              semisimple graded Lie algebra</i>,
 <span class='BibJournal'>Trudy Sem. Vektor. Tenzor. Anal.</span> (<span class='BibNumber'>19</span>)
 (<span class='BibYear'>1979</span>),
 <span class='BibPages'>155-177</span><br />
(<span class='BibNote'>English translation: Selecta Math. Sov. 6, 15-35 (1987)</span>).
</p>


<p><a id="biBpovin" name="biBpovin"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>VP89</span>]   <b class='BibAuthor'>Vinberg, {. B. and Popov, V. L.</b>,
 <i class='BibTitle'>Invariant theory</i>,
  in  <i class='BibBooktitle'>Algebraic geometry, 4 (Russian)</i>,
 <span class='BibPublisher'>Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn.
      Inform.</span>,
 <span class='BibSeries'>Itogi Nauki i Tekhniki</span>,
 <span class='BibAddress'>Moscow</span>
 (<span class='BibYear'>1989</span>),
 <span class='BibPages'>137--314</span><br />
(<span class='BibNote'>English translation in: V. L. Popov and {\`E}. B. Vinberg, 
  {\em Invariant Theory}, in: {\em Algebraic Geometry IV}, Encyclopedia of
      Mathematical
Sciences, Vol. 55, Springer-Verlag, 
{\em Proc. Steklov Inst. Math.} 264 (2009), no. 1, 146--158</span>).
</p>

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