Algorithmic orbit classification for some Borel group actions
Compositio Mathematica, Volume 61 (1987) no. 1, p. 3-41
@article{CM_1987__61_1_3_0,
     author = {B\"urgstein, Hartmut and Hesselink, Wim H.},
     title = {Algorithmic orbit classification for some Borel group actions},
     journal = {Compositio Mathematica},
     publisher = {Martinus Nijhoff Publishers},
     volume = {61},
     number = {1},
     year = {1987},
     pages = {3-41},
     zbl = {0612.17005},
     mrnumber = {879187},
     language = {en},
     url = {http://www.numdam.org/item/CM_1987__61_1_3_0}
}
Bürgstein, Hartmut; Hesselink, Wim H. Algorithmic orbit classification for some Borel group actions. Compositio Mathematica, Volume 61 (1987) no. 1, pp. 3-41. http://www.numdam.org/item/CM_1987__61_1_3_0/

[1] A.V. Aho, J.E. Hopcroft, J.D. Ullman: Data structures and algorithms. Addison-Wesley: Reading (1983). | MR 666695 | Zbl 0487.68005

[2] A. Altman, S. Kleiman: Introduction to Grothendieck duality theory. Springer: Berlin etc. (1970). | MR 274461 | Zbl 0215.37201

[3] A. Borel: Linear algebraic groups. Benjamin: New York (1969). | MR 251042 | Zbl 0186.33201

[4] W. Borho: Über Schichten halfbeinfacher Lie-Algebren. Inventiones math. 65 (1981) 283-317. | MR 641132 | Zbl 0484.17004

[5] W. Borho, P. Gabriel, R. Rentschler: Primideale in Einhüllenden auflösbarer Lie-Algebren. Springer: Berlin etc. (1973). | MR 376790 | Zbl 0293.17005

[6] E. Brieskorn: Singular elements of semisimple algebraic groups. Actes du Congrès International des Mathématiciens 1970, tomeII p. 279-284. | MR 437798 | Zbl 0223.22012

[7] I.B. Brodskii: On orbits of unipotent groups. Funct. Ana. Appl. 3 (1969) 96-100. | MR 257268 | Zbl 0197.30405

[8] A. Grothendieck: Torsion homologique et sections rationelles. Séminaire Anneaux de Chow et appl. 2 (1958). | Numdam

[9] A. Grothendieck, J.A. Dieudonné: Eléments de géométrie algébrique. Publ. Math. I.H.E.S. 24 (1965). | Numdam | Zbl 0135.39701

[10] W.H. Hesselink: A classification of the nilpotent triangular matrices. Compositio Math. 55 (1985) 89-133. | Numdam | MR 791648 | Zbl 0579.15011

[11] D.A. Kazhdan, G. Lusztig: Representations of Coxeter groups and Hecke algebras. Inventiones math. 53 (1979) 165-184. | MR 560412 | Zbl 0499.20035

[12] A.A. Kirillov: Elements of the theory of representations. Springer: Berlin etc. (1976). | MR 412321 | Zbl 0342.22001

[13] D. Mumford: Introduction to algebraic geometry (preliminary version of first 3 chapters) (1968).

[14] V. Pyasetskii: Linear Lie groups acting with finitely many orbits. Funct. Ana. Appl. 9 (1975) 351-353. | Zbl 0326.22004

[15] N. Spaltenstein: On the fixed point set of a unipotent element on the variety of Borel subgroups. Topology 16 (1977) 203-204. | MR 447423 | Zbl 0445.20021

[16] N. Spaltenstein: Classes unipotentes et sous-groupes de Borel. Springer: Berlin etc. (1982). | MR 672610 | Zbl 0486.20025

[17] T.A. Springer: Trigonometric sums, Green functions of finite groups and representations of Weyl groups. Inventiones math. 36 (1976) 173-207. | MR 442103 | Zbl 0374.20054

[18] T.A. Springer: A construction of representations of Weyl groups. Inventiones math. 44 (1978) 279-293. | MR 491988 | Zbl 0376.17002

[19] T.A. Springer: Linear algebraic groups. Birkhäuser: Boston etc. (1981). | MR 632835 | Zbl 0453.14022

[20] T.A. Springer, R. Steinberg: Conjugacy classes. Part E of: A. Borel et al.: Seminar on algebraic groups and related finite groups. Springer, Berlin etc. (1970). | MR 268192 | Zbl 0192.36201 | Zbl 0249.20024