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Growth of Algebras and Gelfand-Kirillov Dimension: Revised Edition
About this Title
Günter R. Krause, University of Manitoba, Winnipeg, MB, Canada and Thomas H. Lenagan, University of Edinburgh, Edinburgh, Scotland
Publication: Graduate Studies in Mathematics
Publication Year:
2000; Volume 22
ISBNs: 978-0-8218-0859-7 (print); 978-1-4704-2077-2 (online)
DOI: https://doi.org/10.1090/gsm/022
MathSciNet review: MR1721834
MSC: Primary 16P90
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Chapter 1. Growth of algebras
- Chapter 2. Gelfand-Kirillov dimension of algebras
- Chapter 3. Gelfand-Kirillov dimension of related algebras
- Chapter 4. Localization
- Chapter 5. Modules
- Chapter 6. Graded and filtered algebras and modules
- Chapter 7. Almost commutative algebras
- Chapter 8. Weyl algebras
- Chapter 9. Enveloping algebras of solvable Lie algebras
- Chapter 10. Polynomial identity algebras
- Chapter 11. Growth of groups
- Chapter 12. New developments