Bulletin of the American Mathematical Society

Commutativity of intertwining operators

A. W. Knapp

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Bull. Amer. Math. Soc., Volume 79, Number 5 (1973), 1016-1018.

First available in Project Euclid: 4 July 2007

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Primary: 22E30: Analysis on real and complex Lie groups [See also 33C80, 43-XX] 22E45: Representations of Lie and linear algebraic groups over real fields: analytic methods {For the purely algebraic theory, see 20G05}
Secondary: 17B20: Simple, semisimple, reductive (super)algebras 20G20: Linear algebraic groups over the reals, the complexes, the quaternions 22D30: Induced representations 22E15: General properties and structure of real Lie groups


Knapp, A. W. Commutativity of intertwining operators. Bull. Amer. Math. Soc. 79 (1973), no. 5, 1016--1018. https://projecteuclid.org/euclid.bams/1183534992

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  • 1. A. W. Knapp and E. M. Stein, Intertwining operators for semisimple groups, Ann. of Math. (2) 93 (1971), 489-578.
  • 2. A. W. Knapp and E. M. Stein, Irreducibility theorems for the principal series, Conference on Harmonic Analysis, Lecture Notes in Math., vol. 266, Springer-Verlag, Berlin and New York, 1972, pp. 197-214.
  • 3. A. W. Knapp, Determination of intertwining operators, Summer Institute in Harmonic Analysis 1972, Proc. Sympos. Pure Math., vol. 26, Amer. Math. Soc. Providence, R. I. (to appear).

See also

  • Part II: A. W. Knapp. Commutativity of intertwining operators. II. Bull. Amer. Math. Soc., Volume 82, Number 2 (1976), 271--273.