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1106.0950.pdf
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🔗 Source: arxiv.org
📊 Size: 280 KB
📄 Pages: 17 pages
⬇️ Downloads: 93

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The nilpotency degree Cn,d of a relatively free algebra with identity xn = 0 is studied. Under the assumption that the characteristic p of the base field is greater than n/2, it is shown that Cn,d < nlog2(3d+2)+1 and Cn,d < 4 * 2^(n/2)d. A polynomial growth of Cn,d is established when the number of generators d is fixed and p > n/2. The nilpotency degree C4,d is described with deviation 3 for all d when p ≠ 2. A finite generating set for the algebra RGL(n) of GL(n)-invariants of d matrices is established in terms of Cn,d.

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The nilpotency degree Cn,d of a relatively free algebra with identity xn = 0 is studied.

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  • File Format: PDF
  • File Size: 280 KB
  • Pages: 17
  • Language: EN
  • Total Downloads: 93
  • Last Updated: 3 weeks ago

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