Expanding Automorphisms and Affine Structures on Nilpotent Lie Algebras with Few Generators.

Autor: Dekimpe, Karel, Igodt, Paul, Pouseele#, Hannes
Předmět:
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