@book{colmcgov,
    AUTHOR = {Collingwood, David H. and McGovern, William M.},
     TITLE = {Nilpotent orbits in semisimple {L}ie algebras},
    SERIES = {Van Nostrand Reinhold Mathematics Series},
 PUBLISHER = {Van Nostrand Reinhold Co.},
   ADDRESS = {New York},
      YEAR = {1993}
}

@Article{wdg08,
  author = 	 {Graaf, Willem A. de},
  title = 	 {Computing with nilpotent orbits in simple {L}ie algebras 
                  of exceptional type},
   JOURNAL = {LMS J. Comput. Math.},
  FJOURNAL = {LMS Journal of Computation and Mathematics},
    VOLUME = {11},
      YEAR = {2008},
     PAGES = {280-297 (electronic)}
}

@Article{elasgra,
  author = 	 {Graaf, Willem A. de and Elashvili, Alexander G.},
  title = 	 {Induced nilpotent orbits of the simple {L}ie algebras 
                  of exceptional type},
  journal = 	 {Georgian Mathematical Journal},
  year = 	 {2009},
  volume = 	 {16},
  number = 	 {2},
  pages = 	 {257-278},
  note = 	 {{\tt arXiv:0905.2743v1}[math.RT]}
}

@article{gra15,
    AUTHOR = {de Graaf, Willem A.},
     TITLE = {Computing representatives of nilpotent orbits of $\theta$-groups},
   JOURNAL = {J. Symbolic Comput.},
  FJOURNAL = {Journal of Symbolic Computation},
    VOLUME = {46},
      YEAR = {2011},
     PAGES = {438--458}
}

@article {grasss,
    AUTHOR = {Graaf, Willem A. de},
     TITLE = {Constructing semisimple subalgebras of semisimple {L}ie algebras},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {325},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {416--430}
}

@article{closure,
    AUTHOR = {de Graaf, W.A. and Vinberg, E.B. and Yakimova, O.S.},
     TITLE = {An effective method to compute closure ordering for nilpotent
              orbits of {$\theta$}-representations},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {371},
      YEAR = {2012},
     PAGES = {38--62}
}

@book {helgason,
    AUTHOR = {Helgason, Sigurdur},
     TITLE = {Differential geometry, {L}ie groups, and symmetric spaces},
    SERIES = {Pure and Applied Mathematics},
    VOLUME = {80},
 PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
   ADDRESS = {New York},
      YEAR = {1978}
}

@article{hesselink,
    AUTHOR = {Hesselink, Wim H.},
     TITLE = {Desingularizations of varieties of nullforms},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {55},
      YEAR = {1979},
    NUMBER = {2},
     PAGES = {141--163}
}

@article{popov,
    AUTHOR = {Popov, V. L.},
     TITLE = {The cone of {H}ilbert null forms},
   JOURNAL = {Tr. Mat. Inst. Steklova},
  FJOURNAL = {Trudy Matematicheskogo Instituta Imeni V. A. Steklova.
              Rossi\u\i skaya Akademiya Nauk},
    VOLUME = {241},
      YEAR = {2003},
    NUMBER = {Teor. Chisel, Algebra i Algebr. Geom.},
     PAGES = {192--209},
     NOTE  = {English translation in: {\em Proc. Steklov Inst. Math.} 241 (2003), no. 1, 177--194}
}


@incollection{povin,
    AUTHOR = {Vinberg, {\`E}. B. and Popov, V. L.},
     TITLE = {Invariant theory},
 BOOKTITLE = {Algebraic geometry, 4 ({R}ussian)},
    SERIES = {Itogi Nauki i Tekhniki},
     PAGES = {137--314},
 PUBLISHER = {Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform.},
   ADDRESS = {Moscow},
      YEAR = {1989},
     NOTE  = {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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@article {vinberg,
    AUTHOR = {Vinberg, E. B.},
     TITLE = {The {W}eyl group of a graded {L}ie algebra},
   JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
  FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
    VOLUME = {40},
      YEAR = {1976},
    NUMBER = {3},
     PAGES = {488-526, 709},
     NOTE  = {English translation: Math. USSR-Izv. 10, 463-495 (1976)}
}

@article {vinberg2,
    AUTHOR = {Vinberg, E. B.},
     TITLE = {Classification of homogeneous nilpotent elements of a
              semisimple graded {L}ie algebra},
   JOURNAL = {Trudy Sem. Vektor. Tenzor. Anal.},
  FJOURNAL = {Trudy Seminara po Vektornomu i Tenzornomu Analizu s ikh
              Prilozheniyami k Geometrii, Mekhanike i Fizike},
    NUMBER = {19},
      YEAR = {1979},
     PAGES = {155-177},
     NOTE  = {English translation: Selecta Math. Sov. 6, 15-35 (1987)}
}

@article{vinberg3,
    AUTHOR = {Vinberg, E. B.},
     TITLE = {The classification of nilpotent elements of graded {L}ie
              algebras},
   JOURNAL = {Dokl. Akad. Nauk SSSR},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
    VOLUME = {225},
      YEAR = {1975},
    NUMBER = {4},
     PAGES = {745-748}
}
