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CHARACTERS OF FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF GROUPS

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초록

The notion of character of a finite-dimensional pseudorepresentation of a group is introduced and the structure of characters of locally bounded pseudorepresentations of connected semisimple Lie groups is described.

Abstract

The notion of character of a finite-dimensional pseudorepresentation of a group is introduced and the structure of characters of locally bounded pseudorepresentations of connected semisimple Lie groups is described.

참고문헌 (5)

  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 homomorphisms of locally compact groups", Izv. Math., 72(1), pp.169~205 (2008)[DOI]
  5. A. I. Shtern, "Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups", Mat. Sb., 208(10), pp.149~170 (2017)[DOI]

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