Metabelian Thin Lie Algebras
โ Scribed by Norberto Gavioli; Valerio Monti; David S Young
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 127 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
A graded Lie algebra is thin if it is generated by two elements of degree 1 and each of its homogeneous ideals is located between two consecutive terms of the lower central series. In this paper we give a complete classification of the metabelian thin Lie algebras and their graded automorphism groups.
๐ SIMILAR VOLUMES
Let K be a field of characteristic 3 and let G be a non-abelian group. It is shown that the group algebra KG is Lie centrally metabelian if and only if the commutator subgroup Gะ is cyclic of order 3. In view of the results of R. K. Sharma ลฝ . and J. B. Srivastava 1992, J. Algebra 151, 476แ486 , thi
Lie centre-by-metabelian group algebras over fields have been classified by various authors. This classification is extended to group algebras over commutative rings. ๏ฃฉ 2002 Elsevier Science (USA)