Algorithmic orbit classification for some Borel group actions

Hartmut Bürgstein; Wim H. Hesselink

Compositio Mathematica (1987)

  • Volume: 61, Issue: 1, page 3-41
  • ISSN: 0010-437X

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Bürgstein, Hartmut, and Hesselink, Wim H.. "Algorithmic orbit classification for some Borel group actions." Compositio Mathematica 61.1 (1987): 3-41. <http://eudml.org/doc/89813>.

@article{Bürgstein1987,
author = {Bürgstein, Hartmut, Hesselink, Wim H.},
journal = {Compositio Mathematica},
keywords = {nilpotent matrices; reductive algebraic group; Borel subgroup; algorithm; orbits},
language = {eng},
number = {1},
pages = {3-41},
publisher = {Martinus Nijhoff Publishers},
title = {Algorithmic orbit classification for some Borel group actions},
url = {http://eudml.org/doc/89813},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Bürgstein, Hartmut
AU - Hesselink, Wim H.
TI - Algorithmic orbit classification for some Borel group actions
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 1
SP - 3
EP - 41
LA - eng
KW - nilpotent matrices; reductive algebraic group; Borel subgroup; algorithm; orbits
UR - http://eudml.org/doc/89813
ER -

References

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  13. [13] D. Mumford: Introduction to algebraic geometry (preliminary version of first 3 chapters) (1968). 
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  15. [15] N. Spaltenstein: On the fixed point set of a unipotent element on the variety of Borel subgroups. Topology16 (1977) 203-204. Zbl0445.20021MR447423
  16. [16] N. Spaltenstein: Classes unipotentes et sous-groupes de Borel. Springer: Berlin etc. (1982). Zbl0486.20025MR672610
  17. [17] T.A. Springer: Trigonometric sums, Green functions of finite groups and representations of Weyl groups. Inventiones math.36 (1976) 173-207. Zbl0374.20054MR442103
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  20. [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). Zbl0249.20024MR268192

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