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Discontinuity set of a locally relatively compact pure pseudorepresentation of a topological group

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We introduce the notion of discontinuity set for a locally relatively compact pure pseudorepresentation of a topological group and establish its simplest properties.

Abstract

We introduce the notion of discontinuity set for a locally relatively compact pure pseudorepresentation of a topological group and establish its simplest properties.

참고문헌 (9)

  1. A. I. Shtern, "Discontinuity groups of relatively compact homomorphisms of locally compact groups and their applications", Advanced Studies in Contemporary Mathematics, 15(2), pp.139~152 (2007), 장전수학회
  2. A. I. Shtern, "Finite-Dimensional Quasirepresentations of Connected Lie Groups and Mishchenko’s Conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
  3. A. I. Shtern, "Irreducible locally bounded finite-dimensional pseudorepresentations of connected locally compact groups", Russ. J. Math. Phys, 25(2), pp.239~240 (2018)
  4. A. I. Shtern, "Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups", Mat. Sb, 208(10), pp.149~170 (2017)
  5. A. I. Shtern, "Continuity Conditions for Finite-Dimensional Locally Bounded Representations of Connected Locally Compact Groups", Russ. J. Math. Phys, 25(5), pp.345~382 (2018)
  6. A. I. Shtern, "CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF ALMOST CONNECTED LOCALLY COMPACT GROUPS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(4), pp.779~782 (2018), 장전수학회[DOI]
  7. A. I. Shtern, "Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups", Russ. J. Math. Phys, 25(3), pp.345~382 (2018)
  8. T. Tao, "Product set estimates for non-commutative groups", Combinatorica, 28(5), pp.547~594 (2008)
  9. E. Breuillard, "The structure of approximate groups", Publ. Math. Inst. Hautes ´Etudes Sci, 116, pp.115~221 (2012)

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