Groups with Completely Reducible Regular Representation
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Publication:4187996
DOI10.2307/2042478zbMath0403.22007OpenAlexW4231412247MaRDI QIDQ4187996
Lawrence W. Baggett, Keith F. Taylor
Publication date: 1978
Full work available at URL: https://doi.org/10.2307/2042478
Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Positive definite functions on groups, semigroups, etc. (43A35) Group algebras of locally compact groups (22D15)
Related Items (12)
The Rajchman algebra \(B_{0}(G)\) of a locally compact group \(G\) ⋮ Lebesgue type decomposition of subspaces of Fourier-Stieltjes algebras ⋮ Decomposition of $B(G)$ ⋮ A sufficient condition for the complete reducibility of the regular representation ⋮ Harmonic analysis on the affine group of the plane ⋮ Group representations which vanish at infinity ⋮ Fixed point property and normal structure for Banach spaces associated to locally compact groups ⋮ Geometry of the Fourier algebras and locally compact groups with atomic unitary representations ⋮ Fixed point property and the Fourier algebra of a locally compact group ⋮ Groups whose Fourier algebra and Rajchman algebra coincide ⋮ Locally compact unimodular groups with atomic duals ⋮ On the structure of invertible elements in certain Fourier–Stieltjes algebras
Cites Work
- A sufficient condition for the complete reducibility of the regular representation
- Positive definite functions which vanish at infinity
- The regular representation of restricted direct product groups
- A separable group having a discrete dual space is compact
- Induced representation of locally compact groups. I
- Noncompact Unimodular Groups with Purely Atomic Plancherel Measures
- Sur l'analyse harmonique du groupe affine de la droite
- L'algèbre de Fourier d'un groupe localement compact
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