A representation for some groups, a geometric approach

Journal of Linear and Topological Algebra

مقاله 4، دوره 07، شماره 02، شهریور 2018، صفحه 149-153   

نوع مقاله: Research Paper

نویسنده

A. Parsian^*

Department of Mathematics‎, ‎Tafresh Universiy‎, ‎39518-79611 Tafresh‎, ‎Iran

چکیده

‎In the present paper‎, ‎we are going to use geometric and topological concepts‎, ‎entities and properties of the‎ ‎integral curves of linear vector fields‎, ‎and the theory of differential equations‎, ‎to establish a representation for some groups on $R^{n} (n\geq 1)$‎. ‎Among other things‎, ‎we investigate the surjectivity and faithfulness of the representation‎. At the end‎, ‎we give some applications‎.
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کلیدواژه‌ها

Group representation؛ exponential matrix؛ integral curve؛ vector field

مراجع

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