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Weyl's character formula for algebraic groups

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References

  1. Borel, A., andT. A. Springer: Rationality properties of linear algebraic groups, II. (To appear.)

  2. —, andJ. Tits: Groupes réductifs. Publ. Math. I. H. E. S. No. 27, 55–151 (1965).

    Google Scholar 

  3. Chevalley, C.: Sur certains groupes simples. Tôhoku Math. J. (2),7, 14–66. (1955).

    Google Scholar 

  4. Chevalley, C.: Séminaire sur la classification des groupes de Lie algébriques, 2 vol. Paris 1958.

  5. Freudenthal, H.: Zur Berechnung der Charaktere der halbeinfachen Lieschen GruppenI. Proc. Kon. Ak. v. Wet. Amsterdam, Series A57, 369–376 (1954); Freudenthal, H.: Zur Berechnung der Charaktere der halbeinfachen Lieschen GruppenII. ibid. Proc. Kon. Ak. v. Wet. Amsterdam, Series A 487–491.

    Google Scholar 

  6. Harish-Chandra: The characters of semi-simple Lie groups. Trans. Amer. Math. Soc.83, 98–163 (1956).

    Google Scholar 

  7. —: Differential operators on a semi-simple Lie algebra. Amer. J. of Math.79, 87–120 (1957).

    Google Scholar 

  8. Jacobson, N.: Lie Algebras. Intersc. tracts in pure math., 10. New York: Interscience publ. 1962.

    Google Scholar 

  9. Rosenlicht, M.: On quotient varieties and the affine embedding of certain homogeneous spaces. Trans. Amer. Math. Soc.101, 211–223 (1961).

    Google Scholar 

  10. —: Questions of rationality for solvable algebraic groups over nonperfect fields. Annali di Mat. (IV),61, 97–120 (1963).

    Google Scholar 

  11. Steinberg, R.: Representations of algebraic groups. Nagoya Math. J.22, 33–56 (1963).

    Google Scholar 

  12. —: Regular elements of semisimple algebraic groups. Publ. Math. I. H. E. S. No. 25, 49–80 (1965).

    Google Scholar 

  13. Weyl, H.: Theorie der Darstellung kontinuierlicher halbeinfacher Gruppen durch lineare Transformationen, inSelecta, p. 262–366, Basel-Stuttgart: Birkhäuser Verlag 1956.

    Google Scholar 

  14. —: The classical groups. Princeton: Princeton University Press 1946.

    Google Scholar 

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Springer, T.A. Weyl's character formula for algebraic groups. Invent Math 5, 85–105 (1968). https://doi.org/10.1007/BF01425541

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