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A NEW CHARACTERIZATION OF LOCALLY COMPACT FIR GROUPS

A. I. Shtern
장전수학회 (Jangjeon Mathematical Society)|2020.04|Advanced Studies in Contemporary Mathematics|제30권 제2호|pp. 269-272

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참고문헌

키워드

locally compact groupFIR group
주제분류수학

초록

A new characterization of locally compact FIR groups is given. This characterization pays special attention to the connected component of the identity.

Abstract

A new characterization of locally compact FIR groups is given. This characterization pays special attention to the connected component of the identity.

참고문헌 (7)

  1. C. C. Moore, "Groups with finite dimensional irreducible representations", Trans. Amer. Math. Soc., 166, pp.401~410 (1972)
  2. L. C. Robertson, "A note on the structure of Moore groups", Bull. Amer. Math. Soc., 75, pp.594~599 (1969)
  3. A. I. Shtern, "Locally bicompact groups with finite-dimensional irreducible representations", Mat. Sb. (N.S.), 90(132), pp.86~95 (1973)
  4. E. G. Khlyupina, "Compactness properties in a class of groups of type I", Dokl. Akad. Nauk SSSR, 241(3), pp.544~546 (1978)
  5. A. Weil, "L’int´egration dans les groupes topologiques et ses applications" (1979), Hermann
  6. E. Thoma, "Eine Charakterisierung diskreter Gruppen vom Typ I", Invent. Math., 6, pp.190~196 (1968)
  7. Alexander I. Shtern, "APPLICATIONS OF AUTOMATIC CONTINUITY RESULTS TO ANALOGS OF THE FREUDENTHAL–WEIL AND HOCHSCHILD THEOREMS", Advanced Studies in Contemporary Mathematics, 20(2), pp.203~212 (2010), 장전수학회

관련 논문AI추천

Centerfree connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호CONNECTED LOCALLY COMPACT GROUPS HAVING SUFFICIENTLY MANY FINITE-DIMENSIONAL LINEAR REPRESENTATIONSAlexander I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호Some almost connected locally compact groups whose group topology is determined by the bounded structureA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF TOTALLY DISCONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호A SPECTRAL CHARACTERIZATION OF ALMOST PERIODIC FUNCTIONS ON MOORE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF ALMOST CONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호

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