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arxiv: 1801.09930 · v1 · pith:CAQDJXWDnew · submitted 2018-01-30 · 🧮 math.RT · math.FA

Trace class groups: the case of semi-direct products

classification 🧮 math.RT math.FA
keywords classsemi-directtracecasegroupgroupsproductsalgebra
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In this paper we continue the study of groups of trace class and consider in particular the case of semi-direct products. One of the highlights is the theorem saying that the semi-direct product of a semisimple Lie group G and its Lie algebra is a trace class group if and only if G is compact.

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