Autor: |
Dekimpe, Karel, Igodt, Paul, Pouseele#, Hannes |
Předmět: |
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Zdroj: |
Communications in Algebra; Dec2003, Vol. 31 Issue 12, p5847-5874, 28p |
Abstrakt: |
We construct [Zopf]-gradings for all 3-generated 3-step nilpotent and 2-generated 4-step nilpotent Lie algebras. This shows that all 3-generated 4-step nilpotent and 2-generated 5-step nilpotent Lie algebras have a complete affine structure. We also obtain a lower bound on the number of generators of a c-step nilpotent Lie algebra with singular derivation algebra. Examples indicate this bound is sharp. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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