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

Inventiones mathematicae (1980)

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

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topJoseph, 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 -

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- O. Gabber, A. Joseph, On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula
- A. Joseph, Towards the Jantzen conjecture. III
- Patrick Polo, Diagrammes de Dynkin et algèbres enveloppantes d'algèbres de Lie semi-simples
- Anthony Joseph, Annihilators and associated varieties of unitary highest weight modules
- Anthony Joseph, On the characteristic polynomials of orbital varieties
- Hisayosi Matumoto, ${C}^{-\infty}$-Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

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