All Algebras of Spherical Functions Defined on the Two-by-Two General Linear Group with Entries in a Locally Compact p-Adic Field are Commutative

DOI10.2307/2037020zbMath0174.31205OpenAlexW4253115422MaRDI QIDQ5562642

Allan J. Silberger

Publication date: 1969

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2037020

zbMATH Keywords

group theory

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Multiplicity theorems modulo \(p\) for GL\(_2\)(Q\(_p\)), Unnamed Item, Irreducible representations of a maximal compact subgroup of \(PGL_2\) over the \(p\)-adics