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IRREDUCIBLY REPRESENTABLE LIE GROUPS

A. I. Shtern
장전수학회 (Jangjeon Mathematical Society)|2011.04|Advanced Studies in Contemporary Mathematics|제21권 제2호|pp. 125-131

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참고문헌

키워드

Lie grouplinear Lie groupcontinuous finite-dimensional representationHochschild universal kernel
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초록

The connected Lie groups admitting a separating family of continuous linear irreducible finite-dimensional representations are described

Abstract

The connected Lie groups admitting a separating family of continuous linear irreducible finite-dimensional representations are described

참고문헌 (15)

  1. A.Weil, "Lintegration dans les groupes topologiques et ses applications, 2nd ed", Act. Sc. Ind, (1145) (1953), Hermann
  2. G. P. Hochschild, "The universal representation kernel of a Lie group", Proc. Amer. Math. Soc, 11, pp.625~629 (1960)
  3. M. Goto, "Faithful representations of Lie groups. I", Math. Japonicae, 1, pp.107~119 (1948)
  4. M. Goto, "Faithful representations of Lie groups. II", Nagoya Math. J, 1, pp.91~107 (1950)
  5. M. Moskowitz, "Faithful representations and a local property of Lie groups", Math. Z, 143, pp.193~198 (1975)
  6. 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
  7. Alexander I. Shtern, "HOCHSCHILD KERNEL FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF A CONNECTED REDUCTIVE LIE GROUP", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 13(2), pp.127~132 (2010), 장전수학회
  8. Alexander I. Shtern, "HOCHSCHILD KERNEL FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF A CONNECTED LIE GROUP WITH SIMPLE LEVI SUBGROUP", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 13(3), pp.289~294 (2010), 장전수학회
  9. 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
  10. A.I.Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
  11. A.I.Shtern, "A version of the van der Waerden theorem and the proof of the Mishchenko conjecture for homomorphisms of locally compact groups", Izv. Ross. Akad. Nauk Ser. Mat, 72(1), pp.183~224 (2008)
  12. A. I. Shtern, "Connected locally compact groups: Hochschild kernel and the faithfulness of locally bounded finite-dimensional representations", ~
  13. K. Iwasawa, "On some types of topological groups", Ann. of Math, 50, pp.507~558 (1949)
  14. E.Hewitt, "Abstract Harmonic Analysis. Vol. I" (1979), Springer-Verlag
  15. A.I.Shtern, "Hochschild kernel for locally bounded finite-dimensional representations of a connected Lie group", Appl. Math. Comput (2011)

관련 논문AI추천

CONNECTED LOCALLY COMPACT GROUPS HAVING SUFFICIENTLY MANY FINITE-DIMENSIONAL LINEAR REPRESENTATIONSAlexander I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호Centerfree connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호EVERY (NOT NECESSARILY CONTINUOUS) FINITE-DIMENSIONAL IRREDUCIBLE LOCALLY BOUNDED REPRESENTATION OF A CONNECTED LIE GROUP IS DETERMINED BY THE CHARACTER OF THE REPRESENTATIONA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제2호Connected Lie groups with many locally bounded finite-dimensional representations are linearA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호Not necessarily continuous locally bounded finite-dimensional indecomposable pseudorepresentations of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호

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