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GENERALITIES CONCERNING IRREDUCIBLE PSEUDOREPRESENTATIONS OF GROUPS

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초록

We obtain general results concerning irreducible pseudorepresentations of groups. Applications to unbounded pseudorepresentations admitting an unbounded irreducible subpseudorepresentation are indicated.

Abstract

We obtain general results concerning irreducible pseudorepresentations of groups. Applications to unbounded pseudorepresentations admitting an unbounded irreducible subpseudorepresentation are indicated.

참고문헌 (7)

  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, "Irreducible Locally Bounded Finite-Dimensional Pseudorepresentations of Connected Locally Compact Groups", Russ. J. Math. Phys., 25(2), pp.239~240 (2018)[DOI]
  6. A. I. Shtern, "Exponential stability of quasihomomorphisms into Banach spaces and a Ger-Semrl theorem", Russ. J. Math. Phys., 22(1), pp.141~142 (2015)[DOI]
  7. A. I. Shtern, "Representations associated to quasirepresentations of amenable groups with zero multiplication of defect operators", Russ. J. Math. Phys., 24(3), pp.373~375 (2017)[DOI]

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