Homogeneous varieties for semisimple groups of rank one

Friedrich Knop

Compositio Mathematica (1995)

  • Volume: 98, Issue: 1, page 77-89
  • ISSN: 0010-437X

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Knop, Friedrich. "Homogeneous varieties for semisimple groups of rank one." Compositio Mathematica 98.1 (1995): 77-89. <http://eudml.org/doc/90395>.

@article{Knop1995,
author = {Knop, Friedrich},
journal = {Compositio Mathematica},
keywords = {action of reductive group; orbit of Borel subgroup},
language = {eng},
number = {1},
pages = {77-89},
publisher = {Kluwer Academic Publishers},
title = {Homogeneous varieties for semisimple groups of rank one},
url = {http://eudml.org/doc/90395},
volume = {98},
year = {1995},
}

TY - JOUR
AU - Knop, Friedrich
TI - Homogeneous varieties for semisimple groups of rank one
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 98
IS - 1
SP - 77
EP - 89
LA - eng
KW - action of reductive group; orbit of Borel subgroup
UR - http://eudml.org/doc/90395
ER -

References

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  1. [Bo] Borel, A.: On affine algebraic homogeneous spaces. Archiv Math45 (1985), 74-78. Zbl0554.14016MR799451
  2. [DG] Demazure, M. and Gabriel, P.: Groupes algébriques. Amsterdam: North-Holland1970. Zbl0203.23401
  3. [Di] Dickson, L.E.: Linear Groups. New York: Dover Publications1958. Zbl0082.24901MR104735
  4. [Hu] Huppert, B.: Endliche Gruppen I. Grundlehren134Berlin- Heidelberg-New York: Springer-Verlag1967. Zbl0217.07201MR224703
  5. [Ja] Jantzen, J.C.: Representations of algebraic groups. PureAppl. Math.131Orlando: Academic Press1987. Zbl0654.20039MR899071
  6. [Kl] Klein, F.: Vorlesungen über das Ikosaeder (reprint, with comments by P. Slodowy). Basel: Birkhäuser1993. MR1315530
  7. [Kn] Knop, F.: On the set of orbits for a Borel subgroup. To appear in Comment. Math. Helv. (1995), 22 pages. Zbl0828.22016MR1324631
  8. [MO] Meyer, H.-M. and Oberst, U.: Fixpunkt- und Struktursätze für affine, algebraische Gruppen-schemata in Charakteristik p. Math. Annalen227 (1977), 67-96. Zbl0327.14014MR429927
  9. [Wa] Waterhouse, W.: Subgroups of ax + b and the splitting of triangular group schemes. Proc. AMS79 (1980), 520-522. Zbl0442.14018MR572293

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