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One-dimensional finally precontinuous pseudorepresentations of almost connected locally compact groups whose identity component has no Hermitian symmetric quotients

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초록

The structure of one-dimensional finally precontinuous pseudorepresentations of almost connected locally compact groups whose identity component has no Hermitian symmetric semisimple quotient Lie groups is studied.

Abstract

The structure of one-dimensional finally precontinuous pseudorepresentations of almost connected locally compact groups whose identity component has no Hermitian symmetric semisimple quotient Lie groups is studied.

참고문헌 (11)

  1. A. I. Shtern, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci, 159(5), pp.653~751 (2009)
  2. A. I. Shtern, "REMARKS ON FINITE-DIMENSIONAL LOCALLY BOUNDED FINALLY PRECONTINUOUS QUASIREPRESENTATIONS OF LOCALLY COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 20(4), pp.469~480 (2010), 장전수학회
  3. 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)
  4. A. I. Shtern, "One-dimensional finally precontinuous pseudorepresentations of connected locally compact groups", Advanced Studies in Contemporary Mathematics, 29(3), pp.449~453 (2019), 장전수학회
  5. A. I. Shtern, "CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF ALMOST CONNECTED LOCALLY COMPACT GROUPS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(4), pp.779~782 (2018), 장전수학회[DOI]
  6. D. H. Lee, "Supplements for the identity component in locally compact groups", Math. Z, 104(1), pp.28~49 (1968)
  7. A. I. Shtern, "Specific properties of one-dimensional pseudorepresentations of groups", J. Math. Sci. (N. Y. ), 233(5), pp.770~776 (2018)
  8. A. I. Shtern, "Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups", Sb. Math, 208(10), pp.1557~1576 (2017)
  9. A. I. Shtern, "On operators in Fr´echet spaces that are similar to isometries", Moscow Univ. Math. Bull, 46(4), pp.47~48 (1991)
  10. A. I. Shtern, "Quasi-symmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
  11. A. I. Shtern, "Triviality and continuity of pseudocharacters and pseudorepresentations", Russ. J. Math. Phys, 5(1), pp.135~138 (1998)

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