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March 29, 2026Journal of Lie theory0 citationsOpen Access

The Constants of Cowling and Haagerup

VMV. Muruganandam

Key Points

  • The aim is to provide a simpler proof for the main theorem regarding completely bounded multipliers of the Fourier algebra linked to Lie groups of real rank one.
  • Presented a straightforward proof approach.
  • Focused on connected real Lie groups of real rank 1.
  • Analyzed specific cases of groups, including SO and exceptional group F4.
  • Confirmed the theorem's applicability to locally isomorphic groups such as SO.
  • Identified that for group F4(-20), the structure reduces to a specific case.
  • Enhanced understanding of the relationships between group properties and multipliers.

Abstract

In this article we give a simpler proof of the main theorem of M. Cowling and U. Haagerup, Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one, Invent.Math.96 (1989), 507-549, which reads as follows.Let G be a connected real Lie group of real rank 1 with finite centre.If G is locally isomorphic to SO 0while if G is the exceptional rank one group F 4(-20) , then G = 21 .

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Cite This Study

V. Muruganandam (2008) studied this question.

synapsesocial.com/papers/69c8c115de0f0f753b39bbachttps://doi.org/10.5802/jolt.516
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