A representation for some groups, a geometric approach
محورهای موضوعی : Group theory
1 - Department of Mathematics, Tafresh Universiy, 39518-79611 Tafresh, Iran
کلید واژه: Group representation, exponential matrix, integral curve, vector field,
چکیده مقاله :
In the present paper, we are going to use geometric and topological concepts, entities and properties of theintegral 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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