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Lie algebras with finite Gelfand-Kirillov dimension

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Publication:4654100
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DOI10.1090/S0002-9939-05-07618-5zbMath1089.17004MaRDI QIDQ4654100

Hamid Usefi, David M. Riley

Publication date: 1 March 2005

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



Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)




Cites Work

  • Unnamed Item
  • Growth in enveloping algebras
  • Homogeneous polynomial identities
  • Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
  • Simple Lie algebras and Lie algebras of maximal class
  • Intermediate growth in Lie algebras and their enveloping algebras
  • Growth of Two-Step Solvable Lie Algebras
  • Finitely Generated Lie Algebras


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