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McConnell, J. C.

Representations of solvable Lie algebras. V: On the Gelfand-Kirillov dimension of simple modules. (English) Zbl 0484.16013

J. Algebra 76, 489-493 (1982).
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Cited in 3 Reviews
Cited in 7 Documents

MSC:

16P60 Chain conditions on annihilators and summands: Goldie-type conditions
17B35 Universal enveloping (super)algebras
16P40 Noetherian rings and modules (associative rings and algebras)
17B30 Solvable, nilpotent (super)algebras
16D30 Infinite-dimensional simple rings (except as in 16Kxx)

Keywords:

finitely generated algebra; faithful simple module; Gelfand-Kirillov dimension; Weyl algebra; Noetherian integral domains; enveloping algebras of solvable Lie algebras

Citations:

Zbl 0376.17003
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Full Text: DOI

References:

[1] Björk, J.-E, Rings of Differential Operators (1979), North-Holland: North-Holland Amsterdam/Oxford/New York · Zbl 0499.13009
[2] Borho, W.; Kraft, H., Über die Gelfand-Kirillov Dimension, Math. Ann., 220, 1-24 (1976) · Zbl 0306.17005
[3] Jacobson, N., Structure of Rings, (Colloquium Publications No. 37 (1956), Amer. Math. Soc: Amer. Math. Soc Providence, R.I) · JFM 65.1131.01
[4] McConnell, J. C., Representations of solvable Lie algebras. II. Twisted group rings, Ann. Sci. Ecole Norm. Sup., 8, 156-178 (1975) · Zbl 0323.17006
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