On the Demazure character formula

A. Joseph

Annales scientifiques de l'École Normale Supérieure (1985)

  • Volume: 18, Issue: 3, page 389-419
  • ISSN: 0012-9593

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Joseph, A.. "On the Demazure character formula." Annales scientifiques de l'École Normale Supérieure 18.3 (1985): 389-419. <http://eudml.org/doc/82162>.

@article{Joseph1985,
author = {Joseph, A.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Demazure character formula; flag variety; Verma module; extreme weight spaces; homology; complex semisimple Lie algebra},
language = {eng},
number = {3},
pages = {389-419},
publisher = {Elsevier},
title = {On the Demazure character formula},
url = {http://eudml.org/doc/82162},
volume = {18},
year = {1985},
}

TY - JOUR
AU - Joseph, A.
TI - On the Demazure character formula
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1985
PB - Elsevier
VL - 18
IS - 3
SP - 389
EP - 419
LA - eng
KW - Demazure character formula; flag variety; Verma module; extreme weight spaces; homology; complex semisimple Lie algebra
UR - http://eudml.org/doc/82162
ER -

References

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  1. [1] M. DEMAZURE, Désingularisation des variétés de Schubert généralisées (Ann. scient. Éc. Norm. sup., T. 6, Sect. 2, 1974, pp. 53-88). Zbl0312.14009MR354697
  2. [2] M. DEMAZURE, Une nouvelle formule des caractères (Bull. Sci. Math., T. 98, 1974, pp. 163-172). Zbl0365.17005MR430001
  3. [3] J. DIXMIER, Algèbres enveloppantes (cahiers scientifique Vol. XXXVII, Gauthier-Villars, Paris, 1973). Zbl0308.17007MR498737
  4. [4] A. JOSEPH, On the Variety of a Highest Weight Module (J. Algebra). Zbl0539.17006MR741942
  5. [5] A. JOSEPH, Completion Functors in the O Category in Lecture notes in mathematics, No. 1020, Springer-Verlag, Berlin/Heidelberg/New York, 1983. Zbl0518.17004MR733462
  6. [6] A. JOSEPH, Application de la théorie des anneaux aux algèbres enveloppantes, mimeographed notes, Paris 1981. 
  7. [7] A. JOSEPH, The Enright Functor on the Bernstein-Gelfand-Gelfand Category O (Invent. Math., Vol. 67, 1982, pp. 423-445). Zbl0502.17006MR664114
  8. [8] M. DEMAZURE, A Very Simple Proof of Bott's Theorem (Invent. Math., Vol. 33 1976, pp. 271-272). Zbl0383.14017MR414569
  9. [9] A. JOSEPH, Goldie Rank in the Enveloping Algebra of a Semisimple Lie Algebra, III (J. Alg., Vol. 73, 1981, pp. 295-326). Zbl0482.17002MR640039
  10. [10] O. GABBER and A. JOSEPH, Towards the Kazhdan-Lusztig Conjecture (Ann. scient. Ec. Norm. Sup., T. 14, 1981, pp. 261-302). Zbl0476.17005MR644519
  11. [11] I. N. BERNSTEIN, I. M. GELFAND and S. I. GELFAND, Schubert Cells and Cohomology of the Spaces G/P (Uspekhi Matemat. Nauk ; Vol. 28, 1973, pp. 3-26 ; Eng. transl. Russian mathematical Surveys, Vol. 28, 1973, pp. 3-26). Zbl0289.57024MR429933
  12. [12] B. KOSTANT, Lie Algebra Cohomology and the Generalized Borel-Weil Theorem (Ann. Math., Vol. 74, 1961, pp. 329-387). Zbl0134.03501MR142696
  13. [13] J.-L. VERDIER, Categories derivées, In SGA 41/2, Cohomologie Etale, LN 569, Springer-Verlag, Berlin/Heidelberg/New York, 1977. Zbl0407.18008MR463174
  14. [14] M. F. ATIYAH and I. G. MACDONALD, Introduction to Commutative Algebra, Adison-Wesley, London, 1969. Zbl0175.03601MR39 #4129

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