An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
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- by T. H. Lenagan and Agata Smoktunowicz
- J. Amer. Math. Soc. 20 (2007), 989-1001
- DOI: https://doi.org/10.1090/S0894-0347-07-00565-6
- Published electronically: April 2, 2007
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Abstract:
The famous 1960’s construction of Golod and Shafarevich yields infinite dimensional nil, but not nilpotent, algebras. However, these algebras have exponential growth. Here, we construct an infinite dimensional nil, but not locally nilpotent, algebra which has polynomially bounded growth.References
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Bibliographic Information
- T. H. Lenagan
- Affiliation: Maxwell Institute for Mathematical Sciences, School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland
- MR Author ID: 189331
- Email: tom@maths.ed.ac.uk
- Agata Smoktunowicz
- Affiliation: Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-956 Warsaw 10, Poland
- Address at time of publication: Maxwell Institute for Mathematical Sciences, School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, Scotland
- MR Author ID: 367000
- Email: agatasm@impan.gov.pl
- Received by editor(s): May 25, 2005
- Published electronically: April 2, 2007
- Additional Notes: The first author acknowledges support by Leverhulme Grant F/00158/X
Part of this work was done while the second author was visiting the University of Edinburgh, with support from the Edinburgh Mathematical Society. The second author acknowledges support by an EPSRC Advanced Fellowship EP/D071674/1. - © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: J. Amer. Math. Soc. 20 (2007), 989-1001
- MSC (2000): Primary 16Nxx, 16P90
- DOI: https://doi.org/10.1090/S0894-0347-07-00565-6
- MathSciNet review: 2328713