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CONNECTED LOCALLY COMPACT GROUPS HAVING SUFFICIENTLY MANY FINITE-DIMENSIONAL LINEAR REPRESENTATIONS

Alexander I. Shtern
장전수학회 (Jangjeon Mathematical Society)|2011.01|Advanced Studies in Contemporary Mathematics|제21권 제1호|pp. 41-46

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참고문헌

키워드

Connected locally compact grouplinear Lie groupcontinuous finite-dimensional representationHochschild universal kernel
주제분류수학

초록

The connected locally compact groups admitting a separating family of continuous linear finite-dimensional representations are described.

Abstract

The connected locally compact groups admitting a separating family of continuous linear finite-dimensional representations are described.

참고문헌 (15)

  1. G. Birkhoff, "Lie groups simply isomorphic with no linear group", Bull. Amer. Math. Soc, 42, pp.883~888 (1936)
  2. M. Goto, "Faithful representations of Lie groups. I", Math. Japonicae, 1, pp.107~119 (1948)
  3. M. Goto, "Faithful representations of Lie groups. II", Nagoya Math. J, 1, pp.91~107 (1950)
  4. E.Hewitt, "Abstract Harmonic Analysis. Vol. I" (1979), Springer-Verlag
  5. G. P. Hochschild, "The universal representation kernel of a Lie group", Proc. Amer. Math. Soc, 11, pp.625~629 (1960)
  6. K. Iwasawa, "On some types of topological groups", Ann. of Math, 50, pp.507~558 (1949)
  7. M. Moskowitz, "Faithful representations and a local property of Lie groups", Math. Z, 143, pp.193~198 (1975)
  8. N. W. Rickert, "Some properties of locally compact groups", J. Austral. Math. Soc, 7, pp.433~454 (1967)
  9. A. I. Shtern, "Van der Waerden's continuity theorem for the commutator subgroups of connected Lie groups and Mishchenko's conjecture", Advanced Studies in Contemporary Mathematics, 13(2), pp.143~158 (2006), 장전수학회
  10. 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)
  11. A.I.Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
  12. 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
  13. 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
  14. 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
  15. A. Weil, "Lintegration dans les groupes topologiques et ses applications, 2nd ed", Act. Sc. Ind, (1145) (1953), Hermann

관련 논문AI추천

Centerfree connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호IRREDUCIBLY REPRESENTABLE LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF TOTALLY DISCONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호CONTINUITY 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 제4호Finite-dimensional finally precontinuous unitary pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호Continuous one-dimensional pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호

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