Polynôme de Hilbert-Samuel dans les algèbres enveloppantes et les algèbres de groupe

DOI10.1007/BF02760964zbMath0447.17009MaRDI QIDQ1146242

Jacques Alev

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotent Lie algebragraded moduleHilbert-Samuel polynomialrational Hilbert seriesgroup ring of torsion- free nilpotent group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Universal enveloping (super)algebras (17B35) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30)

Related Items (1)

Fonction de Hilbert-Samuel dans les anneaux locaux réguliers non-commutatifs

Cites Work

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• Integral group rings of polycyclic-by-finite groups
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• On the enveloping algebra and the descending central series of a Lie algebra
• On the associated graded ring of a group ring
• Rational cohomology of nilpotent groups and lie algebras
• The Intersection Theorem for a Class of Non-Commutative Rings^†
• Local Rings and Normalizing Sets of Elements
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• On Infinite Soluble Groups (V)
• The Group Ring Of a Class Of Infinite Nilpotent Groups

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