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A DECOMPOSITION OF THE SPACE OF PSEUDOCHARACTERS ON A GROUP WITH RESPECT TO A NORMAL SUBGROUP

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참고문헌

키워드

주제분류수학

초록

We prove that the vector space of nontrivial pseudocharacters on a group having a normal subgroup admits a natural direct decomposition.

Abstract

We prove that the vector space of nontrivial pseudocharacters on a group having a normal subgroup admits a natural direct decomposition.

참고문헌 (8)

  1. A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
  2. A. I. Shtern, "Kazhdan–Milman Problem for Semisimple Compact Lie Groups", Russian Math. Surveys, 62(1), pp.113~174 (2007)
  3. 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)
  4. A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
  5. A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.427~433 (2015), 장전수학회
  6. A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS, II", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(2), pp.213~218 (2016), 장전수학회
  7. A. I. Shtern, "EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS, III", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(4), pp.609~614 (2016), 장전수학회
  8. A. I. Shtern, "Finite-Dimensional Quasi-Representations of Connected Lie Groups and Mishchenko’s Conjecture", J. Math. Sci, 159, pp.653~751 (2009)

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