On the classification of primitive ideals for complex classical Lie algebras, III

Devra Garfinkle

Compositio Mathematica (1993)

  • Volume: 88, Issue: 2, page 187-234
  • ISSN: 0010-437X

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Garfinkle, Devra. "On the classification of primitive ideals for complex classical Lie algebras, III." Compositio Mathematica 88.2 (1993): 187-234. <http://eudml.org/doc/90244>.

@article{Garfinkle1993,
author = {Garfinkle, Devra},
journal = {Compositio Mathematica},
keywords = {cycle; special shape; hole; corner; complex semisimple Lie algebra; enveloping algebra; Barbasch-Vogan classification; primitive spectrum; Vogan's conjecture; primitive ideals; generalized -invariants; domino tableaux},
language = {eng},
number = {2},
pages = {187-234},
publisher = {Kluwer Academic Publishers},
title = {On the classification of primitive ideals for complex classical Lie algebras, III},
url = {http://eudml.org/doc/90244},
volume = {88},
year = {1993},
}

TY - JOUR
AU - Garfinkle, Devra
TI - On the classification of primitive ideals for complex classical Lie algebras, III
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 88
IS - 2
SP - 187
EP - 234
LA - eng
KW - cycle; special shape; hole; corner; complex semisimple Lie algebra; enveloping algebra; Barbasch-Vogan classification; primitive spectrum; Vogan's conjecture; primitive ideals; generalized -invariants; domino tableaux
UR - http://eudml.org/doc/90244
ER -

References

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  1. 1 Borho, W. and Jantzen, J.: Über primitive ideale in der Einhüllenden einer halbeinfacher Lie-Algebra. Invent. Math.39 (1977) 1-53. Zbl0327.17002MR453826
  2. 2 Duflo, M.: Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'unde algèbre de Lie semi-simple. Ann. of Math.105 (1977) 107-120. Zbl0346.17011MR430005
  3. 3 Garfinkle, D.: On the classification of primitive ideals for complex classical Lie algebras, I. Comp. Math.75 (1990) 135-169. Zbl0737.17003MR1065203
  4. 4 Garfinkle, D.: On the classification of primitive ideals for complex classical Lie algebras, II. preprint. Zbl0762.17007
  5. 5 Garfinkle, D.: The annihilators of irreducible Harish-Chandra modules for SU(p, q) and other type An-1 groups. preprint. Zbl0786.22023
  6. 6 Garfinkle, D. and Vogan, D.: On the structure of Kazhdan-L usztig cells for branched Dynkin diagrams, J. of Alg. (to appear). Zbl0786.22024
  7. 7 Jantzen, J.: Moduln mit einem höchsten Gewicht, L ecture Notes in Mathematics, vol. 750. Berlin: Springer1979. Zbl0426.17001MR552943
  8. 8 Joseph, A.: A characteristic variety for the primitive spectrum of a semisimple Lie algebra, preprint. Short version in: (ed.) J. Carmona, and M. Vergne, Non-commutative harmonic analysis. Lecture Notes in Mathematics vol. 587, pp. 102-118. Berlin: Springer1977. Zbl0374.17004MR450350
  9. 9 Joseph, A.: Towards the Jantzen conjecture, II. Comp. Math.40 (1980) 69-78. Zbl0424.17005MR594481
  10. 10 Kazhdan, D., and Lusztig, G.: Representations of Coxeter groups and Hecke algebras. Inv. Math.53 (1979) 165-184. Zbl0499.20035MR560412
  11. 11 Lusztig, G.: A class of irreducible representations of a Weyl group. Proc. Kon. Nederl. Akad., Series A82 (1979) 323-335. Zbl0435.20021MR546372
  12. 12 Vogan, D.: A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra. Math. Ann.242 (1979) 209-224. Zbl0387.17007

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