Let R be an arbitrary commutative ring with identity. Denote by t the Lie algebra over R consisting of all upper triangular n by n matrices over R and let b be the Lie subalgebra of t consisting of all matrices of trace 0. The aim of this paper is to give an explicit description of the automorphism
โฆ LIBER โฆ
Lie Centre-by-Metabelian Group Algebras over Commutative Rings
โ Scribed by Richard Rossmanith
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 77 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
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)
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Let \(R\) be a non-trivial commutative ring having no idempotents except 0 and 1 . Denote by \(t\) the Lie algebra over \(R\) consisting of all upper triangular \(n\) by \(n\) matrices over \(R\). We give an explicit description of the automorphism group of this Lie algebra. 1994 Academic Press, Inc