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A [[Linear representation|linear representation]] $\pi$ of a group (ring, algebra, semi-group) $X$ in a vector space $E$ such that if $\pi(x)\xi=0$ for some $\xi\in E$ and all $x\in X$, then $\xi=0$.

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How to Cite This Entry:
Non-degenerate representation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Non-degenerate_representation&oldid=31852

This article was adapted from an original article by A.I. Shtern (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article

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