Proceedings of the Jangjeon Mathematical Society

Jangjeon Mathematical Society (장전수학회)
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CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF ALMOST CONNECTED LOCALLY COMPACT GROUPS

  • SHTERN, A.I. (DEPARTMENT OF MECHANICS AND MATHEMATICS, Moscow STATE UNIVERSITY)
  • Published : 2018.10.31
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Abstract

We obtain a criterion for the continuity of the restriction of a locally bounded finite-dimensional representation of an almost connected locally compact group to the commutator subgroup of the group.

Keywords

Acknowledgement

Supported by : Scientific Research Institute of System Analysis, Russian Academy of Sciences (FGU FNTs NIISI RAN)

References

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  2. A.I. Shtern, Finite-dimensional quasi-representations of connected Lie groups and Mishchenko's conjecture, J. Math. Sci. 159 (2009), no. 5, 653-751. https://doi.org/10.1007/s10958-009-9466-3
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