Effective computation of the Gelfand-Kirillov dimension

DOI10.1017/S0013091500023476zbMath0879.16010MaRDI QIDQ4343100

José L. Bueso, Francisco-Jesús Castro-Jiménez, Pascual Jara

Publication date: 14 August 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

universal enveloping algebrasGröbner basesGelfand-Kirillov dimensionBernstein numbersHilbert-Samuel polynomialsalmost commutative algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Growth rate, Gelfand-Kirillov dimension (16P90) Universal enveloping algebras of Lie algebras (16S30)

Related Items (2)

Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ Gelfand-Kirillov dimension of some simple unitarizable modules

Cites Work

• An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras
• Certaines algèbres de type fini sont des algèbres de Jacobson
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
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