본문 바로가기
KERD
논문KCI 등재

EVERY (NOT NECESSARILY CONTINUOUS) FINITE-DIMENSIONAL IRREDUCIBLE LOCALLY BOUNDED REPRESENTATION OF A CONNECTED LIE GROUP IS DETERMINED BY THE CHARACTER OF THE REPRESENTATION

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

It is proved that every (not necessarily continuous) finite-dimensional irreducible locally bounded representation of a connected Lie group is uniquely determined by the character of the representation.

Abstract

It is proved that every (not necessarily continuous) finite-dimensional irreducible locally bounded representation of a connected Lie group is uniquely determined by the character of the representation.

참고문헌 (6)

  1. A. O. Barut, "Theory of Group Representations and Applications" (1986), World Scientific Publishing Co
  2. A. I. Shtern, "Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groups", Advanced Studies in Contemporary Mathematics, 29(1), pp.1~5 (2019), 장전수학회[DOI]
  3. V. S. Varadarajan, "Lie Groups, Lie Algebras, and Their Representations" (1974), Prentice-Hall Inc.
  4. M. A. Naimark, "Theory of Group Representations" (1982), Springer-Verlag
  5. 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)
  6. A. I. Shtern, "NOT NECESSARILY CONTINUOUS LOCALLY BOUNDED FINALLY PRECONTINUOUS FINITE-DIMENSIONAL IRREDUCIBLE REPRESENTATIONS OF CONNECTED LOCALLY COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 31(1), pp.1~5 (2021), 장전수학회

관련 논문AI추천

이 간행물의 다른 논문 (9건)