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March 29, 2026Journal of Lie theory0 citationsOpen Access

Normalizers of Compact Subgroups, the Existence of Commuting Automophisms, and Applications to Operator Semistable Measures

WHW. HazodKHK. H. HofmannSScheffler

Key Points

  • The research aims to explore the properties of normalizers and centralizers in Lie groups and their implications for operator semistable measures.
  • Analyzed the structure of Lie groups and compact subgroups.
  • Investigated the properties of normalizers and centralizers within this mathematical framework.
  • Applied the findings to characterize operator semistable measures.
  • Established that the normalizer and centralizer of compact subgroups are finite.
  • Clarified the implications of these results for theoretical probability concerning operator semistable measures.

Abstract

Let G be a Lie group with finitely many components and K a compact subgroup with identity component K 0 .The normalizer, respectively, centralizer ofis finite.This is applied to a problem in theoretical probability theory, namely, to the characterisation of operator semistable measures.The article explains these concepts and puts the present application into perspective.

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Cite This Study

Hazod et al. (1998) studied this question.

synapsesocial.com/papers/69c8c15ade0f0f753b39bc44https://doi.org/10.5802/jolt.140
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