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Cartan subalgebras, Borel subalgebras and parabolic subalgebras

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Lie Algebras and Algebraic Groups

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References and comments

  1. Borel A., Linear algebraic groups, Graduate texts in math., 126, Springer-Verlag, 1991.

    Google Scholar 

  2. Bourbaki N., Groupes et algèbres de Lie, chap. 7,8, CCLS Diffusion, 1975.

    Google Scholar 

  3. Dixmier J., Enveloping algebras, Graduate Studies in Math., 11, AMS, 1996.

    Google Scholar 

  4. Dynkin E. B., Semisimple Lie algebras of semisimple Lie algebras, American Math. Soc. Trans., 6, 1957, p. 111–243.

    Google Scholar 

  5. Hochschild G. P., Basic theory of algebraic groups and Lie algebras, Graduate texts in math., 75, Springer-Verlag, 1981.

    Google Scholar 

  6. Humphreys J. E., Introduction to Lie algebras and representation theory, Graduate texts in math., 9, Springer-Verlag, 1972.

    Google Scholar 

  7. Humphreys J. E., Linear algebraic groups, Graduate texts in math., 21, Springer-Verlag, 1975.

    Google Scholar 

  8. Jacobson N., Lie algebras, John Wiley and Sons, 1962.

    Google Scholar 

  9. Jantzen J. C., Einhüllenden Algebren halbeinfacher Lie-Algebren, Ergebnisse der Mathematik and iher Grenzgebiete, 3, Springer-Verlag, 1983.

    Google Scholar 

  10. Springer T. A., Linear algebraic groups, Progress in Mathematics 9, Birkhäuser, 1998.

    Google Scholar 

  11. Tauvel P., Introduction à la théorie des algèbres de Lie, Diderot, 1998.

    Google Scholar 

  12. Bourbaki N., Groupes et algèbres de Lie, chap. 7,8, CCLS Diffusion, 1975.

    Google Scholar 

  13. Onishchik A. L., Vinberg E. B., Lie groups and algebraic groups, translated from the Russian and with a preface by D. A. Leites, Springer Series in Soviet Mathematics, Springer-Verlag, 1990.

    Google Scholar 

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(2005). Cartan subalgebras, Borel subalgebras and parabolic subalgebras. In: Lie Algebras and Algebraic Groups. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27427-8_29

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