본문 바로가기
KERD
논문KCI 등재

THE GROUP OF ONE-DIMENSIONAL BOUNDED PSEUDOREPRESENTATIONS OF AN ALMOST CONNECTED LIE GROUP WHOSE IDENTITY COMPONENT IS SIMPLE

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류수학

초록

We continue the study of the group of one-dimensional bounded pure pseudorepresentations of a group (see [1–3]). This group is computed here for almost connected Lie groups whose connected component is a simple Lie group.

Abstract

We continue the study of the group of one-dimensional bounded pure pseudorepresentations of a group (see [1–3]). This group is computed here for almost connected Lie groups whose connected component is a simple Lie group.

참고문헌 (13)

  1. A. I. Shtern, "Group of one-dimensional bounded pure pseudorepresentations of a simple Lie group", Adv. Stud. Contemp. Math., Kyungshang, 32(2) (2024)
  2. A. I. Shtern, "Group of one-dimensional bounded pseudorepresentations of a group", Adv. Stud. Contemp. Math., Kyungshang, 32(2), pp.247~249 (2022)
  3. A. I. Shtern, "Groups of one-dimensional pure pseudo representations of groups", Adv. Stud. Contemp. Math., Kyungshang, 31(3), pp.389~393 (2021)
  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)
  5. 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)
  6. A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
  7. A. I. Shtern, "Specific properties of one-dimensional pseudorepresentations of groups", J. Math. Sci. (N. Y. ), 233(5), pp.770~776 (2018)
  8. D. H. Lee, "Supplements for the identity component in locally compact groups", Math. Z, 104(1), pp.28~49 (1968)
  9. A. I. Shtern, "One-dimensional pseudorepresentations of almost connected Lie groups", Adv. Studies Contemp. Math. (Kyungshang), 33(3), pp.199~202
  10. "A one-dimensional pseudorepresentation of an almost connected locally compact group is an exponential of a pseudocharacter on the group iff it is trivial on a Lee supplementary subgroup of the group", Proc. Jangjeon Math. Soc, 1, pp.119~122 (2023)
  11. A. I. Shtern, "A one-dimensional pseudorepresentation of an amenable group with a defect less than 1=4 is an ordinary character of the group", Proc. Jangjeon Math. Soc, 25(4), pp.365~368 (2022)
  12. A. I. Shtern, "Extensions of Unitary One-Dimensional Representations from Subgroups", Adv. Studies Contemp. Math. (Kyungshang), 33(4), pp.543~548
  13. A. I. Shtern, "A revised formula for a locally bounded pseudocharacter on an almost connected locally compact group", Adv. Stud. Contemp. Math., Kyungshang, 32(4), pp.543~548 (2022)

관련 논문AI추천

이 간행물의 다른 논문 (24건)