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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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The complexification and differential structure of a locally compact group
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by Kelly McKennon PDF
Trans. Amer. Math. Soc. 267 (1981), 237-258 Request permission

Erratum: Trans. Amer. Math. Soc. 286 (1984), 851.

Abstract:

The concept of a complexification of a locally compact group is defined and its connections with the differential structure developed. To provide an interpretation in terms of irreducible representations of separable, Type I groups, a duality theorem and Bochner theorem are presented.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 267 (1981), 237-258
  • MSC: Primary 22D35; Secondary 43A40
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0621985-7
  • MathSciNet review: 621985