본문 바로가기
KERD
논문KCI 등재

GROUPS OF ONE-DIMENSIONAL PURE PSEUDOREPRESENTATIONS OF GROUPS

A. I. Shtern
장전수학회 (Jangjeon Mathematical Society)|2021.07|Advanced Studies in Contemporary Mathematics|제31권 제3호|pp. 389-393

1

조회

0

다운로드

3

인용

0

참고문헌

키워드

pure pseudorepresentationconnected Lie groupOne-dimensional pseudorepresentationLevi decompositionlocally bounded pseudorepresentation
주제분류수학

초록

The group of bounded one-dimensional pure pseudorepresentations of a group is introduced together with its subgroup generated by bounded one-dimensional pure pseudorepresentations with sufficiently small defects. This subgroup of “good” one-dimensional pseudorepresentations is described for connected Lie groups.

Abstract

The group of bounded one-dimensional pure pseudorepresentations of a group is introduced together with its subgroup generated by bounded one-dimensional pure pseudorepresentations with sufficiently small defects. This subgroup of “good” one-dimensional pseudorepresentations is described for connected Lie groups.

참고문헌 (6)

  1. A. I. Shtern, "Quasireprezentations and pseudorepresentations, Funktsional", Anal. i Prilozhen, 25(2), pp.140~143 (1991)
  2. A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
  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. Ross. Akad. Nauk Ser. Mat, 72(1), pp.169~205 (2008)
  4. A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
  5. A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Mat. Sb, 208(10), pp.1557~1576 (2017)
  6. A. I. Shtern, "Specific properties of one-dimensional pseudorepresentations of groups", Fundam. Prikl. Mat, 21(1), pp.247~255 (2016)

관련 논문AI추천

THE GROUP OF ONE-DIMENSIONAL BOUNDED PSEUDOREPRESENTATIONS OF AN ALMOST CONNECTED LIE GROUP WHOSE IDENTITY COMPONENT IS SIMPLEA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호GROUP OF ONE-DIMENSIONAL BOUNDED PURE PSEUDOREPRESENTATIONS OF A SIMPLE HERMITIAN SYMMETRIC LIE GROUPA.I. SHTERN장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호One-dimensional locally bounded not necessarily continuous pseudorepresentations of the group SL(2,Qp) with small defect are identity representationsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제2호One-dimensional pseudorepresentations with small defect that are trivial on a normal subgroupA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제4호CHARACTERS OF FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제3호Continuous one-dimensional pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호

이 간행물의 다른 논문 (8건)

A NOTE ON q-ANALOGUE OF CATALAN NUMBERS ARISING FROM FERMIONIC p-ADIC q-INTEGRAL ON Zp권종겸, 김대산, 김태균pp. 279-286ADDITIONAL CLOSE LINKS BETWEEN BALANCING AND LUCAS-BALANCING POLYNOMIALSTARAS GOY, ROBERT FRONTCZAKpp. 287-300Generalized net model of intercriteria analysisKrassimir Atanassovpp. 301-309CONSTRUCTION OF GENERALIZED LEIBNITZ TYPE NUMBERS AND THEIR PROPERTIESYILMAZ SIMSEKpp. 311-323A NOTE ON THE MODIFIED TYPE 2 DEGENERATE POLY-CHANGHEE-GENOCCHI NUMBERS AND POLYNOMIALS김한영, 장이채pp. 325-333
원문 보기