QUASI-SYMMETRIC POLYNOMIALLY BOUNDED FRECHET ´ALGEBRAS
Keywords:
Fourier Transform, Reductive Groups, Harish-Chandra’s Schwartz algebras, Symmetric Polynomial Algebras, Fr´echet AlgebrasAbstract
This paper concerns the notion of a symmetric algebra and its generalization to a quasi-symmetric algebra. We study the structure of these algebras in respect to their hull-kernel regularity and existence of some ideals, especially the hull-minimal ideals. An immediate application of our results is to the Harish-Chandra Schwartz Fr´echet algebras, C p (G), of a (connected) semi-simple G.
Published
2026-10-20
Issue
Section
Articles