Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.

A. Joseph

Inventiones mathematicae (1980)

  • Volume: 56, page 191-214
  • ISSN: 0020-9910; 1432-1297/e

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Joseph, A.. "Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.." Inventiones mathematicae 56 (1980): 191-214. <http://eudml.org/doc/142695>.

@article{Joseph1980,
author = {Joseph, A.},
journal = {Inventiones mathematicae},
keywords = {Weyl group representations; Dixmier map; Kostant problem; Goldie rank; Gelfand-Kirillov conjecture; complex semisimple Lie-algebra; enveloping algebra; primitive ideals; simple module with highest weight},
pages = {191-214},
title = {Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.},
url = {http://eudml.org/doc/142695},
volume = {56},
year = {1980},
}

TY - JOUR
AU - Joseph, A.
TI - Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.
JO - Inventiones mathematicae
PY - 1980
VL - 56
SP - 191
EP - 214
KW - Weyl group representations; Dixmier map; Kostant problem; Goldie rank; Gelfand-Kirillov conjecture; complex semisimple Lie-algebra; enveloping algebra; primitive ideals; simple module with highest weight
UR - http://eudml.org/doc/142695
ER -

Citations in EuDML Documents

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  1. William M. McGovern, Unipotent representations and Dixmier algebras
  2. William M. McGovern, A remark on differential operator algebras and an equivalence of categories
  3. Walter Borho, On the Joseph-small additivity principle for goldie ranks. A study on extensions of noetherian rings with applications to enveloping algebras
  4. O. Gabber, A. Joseph, On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula
  5. A. Joseph, Towards the Jantzen conjecture. III
  6. Patrick Polo, Diagrammes de Dynkin et algèbres enveloppantes d'algèbres de Lie semi-simples
  7. Anthony Joseph, Annihilators and associated varieties of unitary highest weight modules
  8. Anthony Joseph, On the characteristic polynomials of orbital varieties
  9. Hisayosi Matumoto, C - ∞ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

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