An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension∗
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چکیده
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 nilporent, algebra which has polynomially bounded growth. 2000 Mathematics subject classification: 16N, 16P90. ∗Part of this work was done while the second author was visiting the University of Edinburgh, with support from the Edinburgh Mathematical Society. The first author acknowledges support by Leverhulme Grant F/00158/X.
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تاریخ انتشار 2005