Restrictions of locally bounded finite-dimensional pure pseudorepresentations of Hermitian symmetric semisimple Lie groups to nonamenable subgroups
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By the very de¯nition, the restriction of a pure pseudorepresentation of a given group to any amenable subgroup is an ordinary representation of the subgroup. In the paper, the corresponding properties of restrictions of pure pseudorepresentations to nonamenable subgroups are studied. In particular, it is proved that, for any finite-dimensional irreducible pure pseudorepresentation of a given Hermitian symmetric semisimple Lie group, the restriction of this pseudorepresentation to some nonamenable subgroup is not an ordinary representation.
Abstract
By the very de¯nition, the restriction of a pure pseudorepresentation of a given group to any amenable subgroup is an ordinary representation of the subgroup. In the paper, the corresponding properties of restrictions of pure pseudorepresentations to nonamenable subgroups are studied. In particular, it is proved that, for any finite-dimensional irreducible pure pseudorepresentation of a given Hermitian symmetric semisimple Lie group, the restriction of this pseudorepresentation to some nonamenable subgroup is not an ordinary representation.
참고문헌 (16)
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