Algorithmic orbit classification for some Borel group actions
Compositio Mathematica, Tome 61 (1987) no. 1, pp. 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},
     pages = {3--41},
     publisher = {Martinus Nijhoff Publishers},
     volume = {61},
     number = {1},
     year = {1987},
     mrnumber = {879187},
     zbl = {0612.17005},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1987__61_1_3_0/}
}
TY  - JOUR
AU  - Bürgstein, Hartmut
AU  - Hesselink, Wim H.
TI  - Algorithmic orbit classification for some Borel group actions
JO  - Compositio Mathematica
PY  - 1987
SP  - 3
EP  - 41
VL  - 61
IS  - 1
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1987__61_1_3_0/
LA  - en
ID  - CM_1987__61_1_3_0
ER  - 
%0 Journal Article
%A Bürgstein, Hartmut
%A Hesselink, Wim H.
%T Algorithmic orbit classification for some Borel group actions
%J Compositio Mathematica
%D 1987
%P 3-41
%V 61
%N 1
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1987__61_1_3_0/
%G en
%F CM_1987__61_1_3_0
Bürgstein, Hartmut; Hesselink, Wim H. Algorithmic orbit classification for some Borel group actions. Compositio Mathematica, Tome 61 (1987) no. 1, pp. 3-41. http://archive.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 | Zbl

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

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

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

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

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

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

[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

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

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

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

[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

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

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

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

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

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

[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 | Zbl