Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves

R. Mirollo; K. Vilonen

Annales scientifiques de l'École Normale Supérieure (1987)

  • Volume: 20, Issue: 3, page 311-323
  • ISSN: 0012-9593

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Mirollo, R., and Vilonen, K.. "Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves." Annales scientifiques de l'École Normale Supérieure 20.3 (1987): 311-323. <http://eudml.org/doc/82205>.

@article{Mirollo1987,
author = {Mirollo, R., Vilonen, K.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {perverse sheaves; Whitney stratification; Riemann-Hilbert correspondance},
language = {eng},
number = {3},
pages = {311-323},
publisher = {Elsevier},
title = {Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves},
url = {http://eudml.org/doc/82205},
volume = {20},
year = {1987},
}

TY - JOUR
AU - Mirollo, R.
AU - Vilonen, K.
TI - Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
PB - Elsevier
VL - 20
IS - 3
SP - 311
EP - 323
LA - eng
KW - perverse sheaves; Whitney stratification; Riemann-Hilbert correspondance
UR - http://eudml.org/doc/82205
ER -

References

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  2. [BB] A. BEILINSON and J. BERNSTEIN, Localisation des g-Modules (C.R. Acad. Sci. Paris, T. 292, Série I, 1981, pp. 15-18). Zbl0476.14019MR82k:14015
  3. [BBD] A. BEILINSON, J. BERNSTEIN and P. DELIGNE, Faisceaux Pervers (Astérisque, Vol. 100, 1983). Zbl0536.14011MR86g:32015
  4. [BGG] J. BERNSTEIN, I. GELFAND and S. GELFAND, Category of g-Modules (Functional Anal. Appl., Vol. 10, 1976, pp. 87-92). Zbl0353.18013MR53 #10880
  5. [BK] J.-L. BRYLINSKI and M. KASHIWARA, Kazhdan-Lusztig Conjecture and Holonomic Systems (Inv. Math., Vol. 64, 1981, pp. 387-410). Zbl0473.22009MR83e:22020
  6. [CR] C. CURTIS and I. REINER, Representation Theory of Finite Groups and Associative Algebras, Wiley, 1962. Zbl0131.25601MR26 #2519
  7. [GM] M. GORESKY and R. MACPHERSON, Morse Theory and Intersection Homology (Asterisque, Vol. 101, 1983, pp. 135-192). Zbl0524.57022MR86i:32019
  8. [H] J. E. HUMPHREYS, Modular Representations of Classical Lie Algebras and Semisimple Groups (J. Algebra, Vol. 19, 1971, pp. 51-79). Zbl0219.17003MR44 #271
  9. [K] M. KASHIWARA, The Riemann-Hilbert Problem for Holonomic Systems (Publ. R.I.M.S., Kyoto, Vol. 20, 1984, pp. 319-365). Zbl0566.32023MR86j:58142
  10. [MV1] R. MACPHERSON and K. VILONEN, Une construction élémentaire des faisceaux pervers (C.R. Acad. Sci. Paris, T. 299, Series I, 1984, pp. 443-446). Zbl0581.14013MR86g:32014
  11. [MV2] R. MACPHERSON and K. VILONEN, Elementary Construction of Perverse Sheaves (Inv. Math., 1986). Zbl0597.18005MR87m:32028
  12. [M] Z. MEBKHOUT, Une équivalence de catégorie et une autre équivalence de catégories (Comp. Math., Vol. 51, 1984, pp. 51-88). Zbl0566.32021MR85k:58072
  13. [Mu] J. P. MURRE, Sur la pro-représentabilité de certains foncteurs en géométrie algébrique, mimeographed notes, 1964. 

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