논문KCI 등재
TENSOR PRODUCTS OF IRREDUCIBLE FINITE-DIMENSIONAL LOCALLY BOUNDED PSEUDOREPRESENTATIONS OF CONNECTED SIMPLE LIE GROUPS
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참고문헌
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주제분류수학
초록
It is proved that the tensor product of any two irreducible finite-dimensional locally bounded pseudorepresentations of a connected simple Lie group is a quasirepresentation if and only if the group has finite center, i.e., either the group is not Hermitian symmetric or it is Hermitian symmetric and not simply connected.
Abstract
It is proved that the tensor product of any two irreducible finite-dimensional locally bounded pseudorepresentations of a connected simple Lie group is a quasirepresentation if and only if the group has finite center, i.e., either the group is not Hermitian symmetric or it is Hermitian symmetric and not simply connected.
참고문헌 (4)
- A. I. Shtern, "A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture on homomorphisms of locally compact groups", Izv. Math, 72(1), pp.169~205 (2008)
- A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci. (N. Y. ), 159(5), pp.653~751 (2009)
- A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
- A. I. Shtern, "Irreducible locally bounded finite-dimensional pseudorepresentations of connected locally compact groups revisited", Russ. J. Math. Phys, 27(3), pp.382~384 (2020)
관련 논문AI추천
IRREDUCIBLE LOCALLY BOUNDED FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF CONNECTED LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제3호REMARKS ON FINITE-DIMENSIONAL LOCALLY BOUNDED FINALLY PRECONTINUOUS QUASIREPRESENTATIONS OF LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제4호Not necessarily continuous locally bounded finite-dimensional indecomposable pseudorepresentations of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호GROUP OF ONE-DIMENSIONAL BOUNDED PURE PSEUDOREPRESENTATIONS OF A SIMPLE HERMITIAN SYMMETRIC LIE GROUPA.I. SHTERN장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호CHARACTERS OF FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제3호Restrictions of locally bounded finite-dimensional pure pseudorepresentations of Hermitian symmetric semisimple Lie groups to nonamenable subgroupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호
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