The Automorphism Group of the Lie Ring of Real Skew-Symmetric Matrices

The Automorphism Group of the Lie Ring of Real Skew-Symmetric Matrices

Denote by An the set of all n×n skew-symmetric matrices over the field of real numbers, which forms a Lie ring under the usual matrix addition and the Lie multiplication as [A,B]=AB-BA, A,B∈An. In this paper, we characterize the automorphism group of the Lie ring An.

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013, p.301-308-828
Hauptverfasser: Xu, Jinli, Zheng, Baodong, Yang, Li
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Mathematical analysis
Mathematical research
Matrices
Matrices (mathematics)
Matrix methods
Multiplication
Real numbers
Rings (Algebra)
Rings (mathematics)
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Zusammenfassung:Denote by An the set of all n×n skew-symmetric matrices over the field of real numbers, which forms a Lie ring under the usual matrix addition and the Lie multiplication as [A,B]=AB-BA, A,B∈An. In this paper, we characterize the automorphism group of the Lie ring An.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/638230