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<h3>References</h3>

<a id="biBcolmcgov" name="biBcolmcgov"></a>

[CM93] Collingwood, D. H. and McGovern, W. M.,
Nilpotent orbits in semisimple Lie algebras,
Van Nostrand Reinhold Co.,
Van Nostrand Reinhold Mathematics Series,
New York
(1993).


<a id="biBgra15" name="biBgra15"></a>

[dG11] de Graaf, W. A.,
Computing representatives of nilpotent orbits of
 \(\theta\)-groups,
J. Symbolic Comput.,
46
(2011),
438--458.


<a id="biBclosure" name="biBclosure"></a>

[dGVY12] de Graaf, W. A., Vinberg, E. B. and Yakimova, O. S.,
An effective method to compute closure ordering for nilpotent
 orbits of \(\theta\)-representations,
J. Algebra,
371
(2012),
38--62.


<a id="biBelasgra" name="biBelasgra"></a>

[GE09] Graaf, W. A. d. and Elashvili, A. G.,
Induced nilpotent orbits of the simple Lie algebras
 of exceptional type,
Georgian Mathematical Journal,
16 (2)
(2009),
257-278 
({\tt arXiv:0905.2743v1}[math.RT]).


<a id="biBwdg08" name="biBwdg08"></a>

[Gra08] Graaf, W. A. d.,
Computing with nilpotent orbits in simple Lie algebras
 of exceptional type,
LMS J. Comput. Math.,
11
(2008),
280-297 (electronic).


<a id="biBgrasss" name="biBgrasss"></a>

[Gra11] Graaf, W. A. d.,
Constructing semisimple subalgebras of semisimple Lie
 algebras,
J. Algebra,
325 (1)
(2011),
416--430.


<a id="biBhelgason" name="biBhelgason"></a>

[Hel78] Helgason, S.,
Differential geometry, Lie groups, and symmetric
 spaces,
Academic Press Inc. [Harcourt Brace Jovanovich
 Publishers],
Pure and Applied Mathematics,
80,
New York
(1978).


<a id="biBhesselink" name="biBhesselink"></a>

[Hes79] Hesselink, W. H.,
Desingularizations of varieties of nullforms,
Invent. Math.,
55 (2)
(1979),
141--163.


<a id="biBpopov" name="biBpopov"></a>

[Pop03] Popov, V. L.,
The cone of Hilbert null forms,
Tr. Mat. Inst. Steklova,
241 (Teor. Chisel, Algebra i Algebr. Geom.)
(2003),
192--209 
(English translation in: {\em Proc. Steklov Inst. Math.} 241 (2003),
 no. 1, 177--194).


<a id="biBvinberg3" name="biBvinberg3"></a>

[Vin75] Vinberg, E. B.,
The classification of nilpotent elements of graded Lie
 algebras,
Dokl. Akad. Nauk SSSR,
225 (4)
(1975),
745-748.


<a id="biBvinberg" name="biBvinberg"></a>

[Vin76] Vinberg, E. B.,
The Weyl group of a graded Lie algebra,
Izv. Akad. Nauk SSSR Ser. Mat.,
40 (3)
(1976),
488-526, 709 
(English translation: Math. USSR-Izv. 10, 463-495 (1976)).


<a id="biBvinberg2" name="biBvinberg2"></a>

[Vin79] Vinberg, E. B.,
Classification of homogeneous nilpotent elements of a
 semisimple graded Lie algebra,
Trudy Sem. Vektor. Tenzor. Anal. (19)
(1979),
155-177 
(English translation: Selecta Math. Sov. 6, 15-35 (1987)).


<a id="biBpovin" name="biBpovin"></a>

[VP89] Vinberg, {. B. and Popov, V. L.,
Invariant theory,
 in Algebraic geometry, 4 (Russian),
Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn.
 Inform.,
Itogi Nauki i Tekhniki,
Moscow
(1989),
137--314 
(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).


 

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