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RESTRICTION OF THE GUICHARDET–WIGNER PSEUDOCHARACTER ON SL(2;R) TO A SUBGROUP COVERING SL(2; Z)

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초록

It is proved that the restriction of the Guichardet–Wigner pseudocharacter on the universal covering group G of SL(2;R) to a subgroup L of G covering the group SL(2; Z) is a nontrivial pseudocharacter (rather than an ordinary character) of L.

Abstract

It is proved that the restriction of the Guichardet–Wigner pseudocharacter on the universal covering group G of SL(2;R) to a subgroup L of G covering the group SL(2; Z) is a nontrivial pseudocharacter (rather than an ordinary character) of L.

참고문헌 (6)

  1. A. I. Shtern, "Quasisymmetry I", Russ. J. Math. Phys., 2(3), pp.353~382 (1994)
  2. A. I. Shtern, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko's conjecture", J. Math. Sci., 159(5), pp.653~751 (2009)[DOI]
  3. A. I. Shtern, "REMARKS ON FINITE-DIMENSIONAL LOCALLY BOUNDED FINALLY PRECONTINUOUS QUASIREPRESENTATIONS OF LOCALLY COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 20(4), pp.469~480 (2010), 장전수학회
  4. A. I. Shtern, "A version of van der Waerden's theorem and a proof of Mishchenko's conjecture on homonorphisms of locally compact groups", Izv. Math., 72(1), pp.169~205 (2008)[DOI]
  5. A. I. Shtern, "LEVEL SETS OF THE GUICHARDET–WIGNER PSEUDOCHARACTER ON THE UNIVERSAL COVERING GROUP OF SU(1, 1)", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(3), pp.411~415 (2014), 장전수학회
  6. P. J. Sally, "Memoirs Amer. Math. Soc. No. 69" (1967)

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