Geodesic
Criteria for the continuity of finite-dimensional representations
Sbornik. Mathematics, Tome 195 (2004) no. 9, pp. 1377-1391 Cet article a éte moissonné depuis la source Math-Net.Ru

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Necessary and sufficient continuity conditions for finite-dimensional (not necessarily topological) representations of connected locally compact groups are obtained. Namely, it is shown that a finite-dimensional representation of a connected locally compact group is continuous if and only if the oscillation of this representation at the identity element of the group is less than 2. 
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     author = {A. I. Shtern},
     title = {Criteria for the continuity of finite-dimensional representations},
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     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_9_a7/}
}
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A. I. Shtern. Criteria for the continuity of finite-dimensional representations. Sbornik. Mathematics, Tome 195 (2004) no. 9, pp. 1377-1391. http://geodesic.mathdoc.fr/item/SM_2004_195_9_a7/

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