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Orbits, invariants, and representations associated to involutions of reductive groups

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References

  1. Borel, A.: Linear algebraic groups. New York: Benjamin 1969

    Google Scholar 

  2. Borel, A., Tits, J.: Groupes réductifs. Publ. Math. I.H.E.S.27, 55–152 (1965)

    Google Scholar 

  3. Borel, A., Tits, J.: Compléments a l'article “Groupes réductifs”. Publ. Math. I.H.E.S.41, 253–276 (1972)

    Google Scholar 

  4. Bourbaki, N.: Groupes et algèbres de Lie, Chapitres 4, 5 et 6. Paris: Hermann 1968

    Google Scholar 

  5. Carter, R.: Conjugacy classes in the Weyl group. Compositio Math.25, 1–59 (1972)

    Google Scholar 

  6. Demazure, M.: Démonstration de la conjecture de Mumford [d'après W. Haboush], Séminaire Bourbaki, exposé 462. Lecture notes, no. 514. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  7. Dieudonné, J.: Cours de géométrie algébrique, 2. Presses universitaires de France 1974

  8. Grothendieck, A., Dieudonné, J.: Éléments de géométrie algébrique, Chap. IV. Publ. Math. I.H.E.S.20, 1–259 (1964)

    Google Scholar 

  9. Helgason, S.: Differential geometry, Lie groups, and symmetric spaces. New York-San Francisco-London: Academic Press 1978

    Google Scholar 

  10. Kostant, B., Rallis, S.: Orbits and representations associated with symmetric spaces. Amer. J. Math.93, 753–809 (1971)

    Google Scholar 

  11. Luna, D.: Slices étales. Bull. Soc. Math. France33, 81–105 (1973)

    Google Scholar 

  12. Luna, D., Richardson, R.: A generalization of the Chevalley restriction theorem. Duke Math. J.46, 487–496 (1979)

    Google Scholar 

  13. Lusztig, G.: On the finiteness of the number of unipotent classes. Invent. Math.34, 201–213 (1976)

    Google Scholar 

  14. Mumford, D.: Geometric Invariant Theory. Berlin-Heidelberg-New York: Springer 1965

    Google Scholar 

  15. Richardson, R.: The conjugating representation of a semisimple group. Invent. Math.54, 229–245 (1979)

    Google Scholar 

  16. Richardson, R.: An application of the Serre Conjecture to semisimple algebraic groups. Lecture notes, no. 848, pp. 141–152. Berlin-Heidelberg-New York: Springer 1981

    Google Scholar 

  17. Richardson, R.: On orbits of algebraic groups and Lie groups. Bull. Austral. Math. Soc.25, 1–28 (1982)

    Google Scholar 

  18. Steinberg, R.: Endomorphisms of linear algebraic groups. Mem. Amer. Math. Soc.80, (1968)

  19. Steinberg, R.: On a theorem of Pittie. Topology14, 173–177 (1975)

    Google Scholar 

  20. Vust, T.: Opération de groupes réductifs dans un type de cônes presque homogènes. Bull. Soc. Math. France102, 317–334 (1974)

    Google Scholar 

  21. Warner, G.: Harmonic analysis on semi-simple lie groups, I. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

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Richardson, R.W. Orbits, invariants, and representations associated to involutions of reductive groups. Invent Math 66, 287–312 (1982). https://doi.org/10.1007/BF01389396

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