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.
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- by Allan J. Silberger PDF
- Proc. Amer. Math. Soc. 21 (1969), 437-440 Request permission
References
- A. A. Kirillov, Infinite-dimensional unitary representations of a second-order matrix group with elements in a locally compact field, Dokl. Akad. Nauk SSSR 150 (1963), 740–743 (Russian). MR 0151552
- F. I. Mautner, Spherical functions over ${\mathfrak {b}}$-adic fields. II, Amer. J. Math. 86 (1964), 171–200. MR 166305, DOI 10.2307/2373039
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 21 (1969), 437-440
- MSC: Primary 22.20
- DOI: https://doi.org/10.1090/S0002-9939-1969-0237707-8
- MathSciNet review: 0237707