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Details for article 13 of 28 found articles
| Title: |
Nilpotent Ideals in Graded Lie Algebras and Almost Constant-Free Derivations |
| Author: |
Khukhro, E. I. Makarenko, N. Yu. Shumyatsky, P. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 5 pages 1869-1882 |
| Year: |
2008-05 |
| Contents: |
It is proved that if a (/p)-graded Lie algebra L, where p is a prime, has exactly d nontrivial grading components and dim L0 = m, then L has a nilpotent ideal of d-bounded nilpotency class and of finite (m,d)-bounded codimension. As a consequence, Jacobson's theorem on constant-free nilpotent Lie algebras of derivations is generalized to the almost constant-free case. Another application is for Lie algebras with almost fixed-point-free automorphisms. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 13 of 28 found articles
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