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REMARKS ON FINITE-DIMENSIONAL LOCALLY BOUNDED FINALLY PRECONTINUOUS QUASIREPRESENTATIONS OF LOCALLY COMPACT GROUPS

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초록

The role of characters of finite-dimensional locally bounded finally precontinuous quasirepresentations of arbitrary connected locally compact groups is discussed. Some special results are obtained for locally bounded quasirepresentations of connected simply connected simple Lie groups and for Lie groups whose Levi subgroup is simple and connected, and the corresponding technique recalls problems related to tensor products of quasirepresentations.

Abstract

The role of characters of finite-dimensional locally bounded finally precontinuous quasirepresentations of arbitrary connected locally compact groups is discussed. Some special results are obtained for locally bounded quasirepresentations of connected simply connected simple Lie groups and for Lie groups whose Levi subgroup is simple and connected, and the corresponding technique recalls problems related to tensor products of quasirepresentations.

참고문헌 (27)

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