The center of the universal enveloping algebra of a Lie algebra in characteristic p

F. D. Veldkamp

Annales scientifiques de l'École Normale Supérieure (1972)

  • Volume: 5, Issue: 2, page 217-240
  • ISSN: 0012-9593

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Veldkamp, F. D.. "The center of the universal enveloping algebra of a Lie algebra in characteristic $p$." Annales scientifiques de l'École Normale Supérieure 5.2 (1972): 217-240. <http://eudml.org/doc/81894>.

@article{Veldkamp1972,
author = {Veldkamp, F. D.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {2},
pages = {217-240},
publisher = {Elsevier},
title = {The center of the universal enveloping algebra of a Lie algebra in characteristic $p$},
url = {http://eudml.org/doc/81894},
volume = {5},
year = {1972},
}

TY - JOUR
AU - Veldkamp, F. D.
TI - The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1972
PB - Elsevier
VL - 5
IS - 2
SP - 217
EP - 240
LA - eng
UR - http://eudml.org/doc/81894
ER -

References

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  1. [1] A. BOREL, Linear algebraic groups, Benjamin, New York, 1969. Zbl0186.33201MR40 #4273
  2. [2] A. BOREL and T. A. SPRINGER, Rationality properties of linear algebraic groups, II [Tôhoku Math. J., (2), vol. 20, 1968, p. 443-497]. Zbl0211.53302MR39 #5576
  3. [3] A. BOREL and J. TITS, Groupes réductifs (Publ. Math. I. H. E. S., vol. 27, 1965, p. 55-150). Zbl0145.17402MR34 #7527
  4. [4] N. BOURBAKI, Groupes et algèbres de Lie, chap. 4, 5, 6, Hermann, Paris, 1968. 
  5. [5] C. CHEVALLEY, Certains schémas de groupes semi-simples (Séminaire Bourbaki, 1960-1961, exposé 219). Zbl0125.01705
  6. [6] H. FREUDENTHAL and H. DE VRIES, Linear Lie groups, Academic Press, New York, 1969. Zbl0377.22001MR41 #5546
  7. [7] R. GODEMENT, Quelques résultats nouveaux de Kostant sur les groupes semi-simples (Séminaire Bourbaki, 1963-1964, exposé 260). Zbl0135.07001
  8. [8] A. GROTHENDIECK et J. DIEUDONNÉ, Éléments de géométrie algébrique, IV (seconde partie) (Publ. Math. I. H. E. S., vol. 24, 1965). Zbl0135.39701
  9. [9] J. E. HUMPHREYS, Modular representations of classical Lie algebras and semisimple groups (J. Algebra, vol. 19, 1971, p. 51-79). Zbl0219.17003MR44 #271
  10. [10] N. JACOBSON, Lie algebras, Interscience, New York, 1962. Zbl0121.27504
  11. [11] N. JACOBSON, Lectures in abstract algebra, III, Van Nostrand, Princeton, 1964. Zbl0124.27002
  12. [12] B. KOSTANT, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group (Amer. J. Math., vol. 81, 1959, p. 973-1032). Zbl0099.25603MR22 #5693
  13. [13] B. KOSTANT, Lie group representations on polynomial rings (Ibid., vol. 85, 1963, p. 327-404). Zbl0124.26802MR28 #1252
  14. [14] D. MUMFORD, Introduction to algebraic geometry (Preliminary version), Dept. Math., Harvard University. 
  15. [15] A. N. RUDAKOV, On representations of classical semisimple Lie algebras of characteristic p (Math. of the U. S. S. R.-Izvestija, vol. 4, 1970, p. 741-750). Zbl0242.17005MR42 #1872
  16. [16] Séminaire «Sophus Lie», Théorie des algèbres de Lie. Topologie des groupes de Lie, Paris, 1954-1955. 
  17. [17] T. A. SPRINGER, Some arithmetical results on semi-simple Lie algebras (Publ. Math. I. H. E. S., vol. 30, 1966, p. 115-141). Zbl0156.27002MR34 #5993
  18. [18] T. A. SPRINGER and R. STEINBERG, Conjugacy classes. In: A BOREL et al., Seminar on algebraic groups and related finite groups (Lecture Notes in Math., vol. 131, Springer Verlag, Berlin, etc. 1970). Zbl0249.20024MR42 #3091
  19. [19] R. STEINBERG, Prime power representations of finite linear groups, II (Can. J. Math., vol. 9, 1957, p. 347-351). Zbl0079.25601MR19,387d
  20. [20] R. STEINBERG, Representations of algebraic groups (Nagoya Math. J., vol. 22, 1963, p. 33-56). Zbl0271.20019MR27 #5870
  21. [21] R. STEINBERG, Regular elements of semisimple algebraic groups (Publ. Math. I. H. E. S., vol. 25, 1965, p. 49-80). Zbl0136.30002MR31 #4788
  22. [22] R. STEINBERG, Lectures on Chevalley groups (Mimeographed notes, Yale University, 1967). 
  23. [23] D.-N. VERMA, Structure of certain induced representations of complex semisimple Lie algebras (Dissertation, Yale University, 1966). 
  24. [24] H. ZASSENHAUS, The representations of Lie algebras of prime characteristic (Proc. Glasgow Math. Ass., vol. 2, 1954, p. 1-36). Zbl0059.03001MR16,108c

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