An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension

• Autores: T. H. Lenagan, Agata Smoktunowicz
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 20, Nº 4, 2007, págs. 989-1001
• Idioma: inglés
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• Resumen

  • 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.