Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Tensor products for $\textrm {SL}(2, k)$
HTML articles powered by AMS MathViewer

by Robert P. Martin PDF
Trans. Amer. Math. Soc. 239 (1978), 197-211 Request permission

Abstract:

Let G be ${\text {SL}}(2,k)$ where k is a locally compact, nondiscrete, totally disconnected topological field whose residual characteristic is not 2, ${\pi _\sigma }$, be a principal series representation of G, and $\pi \in \hat G$ be arbitrary. We determine the decomposition of ${\pi _\sigma } \otimes \pi$ into irreducibles by reducing this problem to decomposing the restriction of each $T \in \hat G$ to a minimal parabolic subgroup B of G and decomposing certain tensor products of irreducibles of B.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 22E45, 22E50
  • Retrieve articles in all journals with MSC: 22E45, 22E50
Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 239 (1978), 197-211
  • MSC: Primary 22E45; Secondary 22E50
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0487045-3
  • MathSciNet review: 487045