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Some Non-commutative Methods in Algebraic Number Theory

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Emmy Noether in Bryn Mawr

Abstract

Some time between the years 1930–32 I heard Emmy cry out: “ 1 – S = 2 if S = - 1.” What she meant was, of course, that the symbolic power 1 – S implies squaring if S is the automorphism given by the inverse. Many times I heard her say, in many contexts: “Das muss hyperkomplex bewiesen werden,” using the word hyperkomplex as an adverb. Both of these utterances were crucial for the work of Emmy that fits into the title of this article. Their implications illuminate a vast area of methods, formulations, new ideas.

Department of Mathematics, 253–37, CALTECH, Pasadena, CA 91125, USA. The author has received advice for the presentation of this article from E. C. Dade, D. Estes, R. Guralnick, and H. Kisilevsky.

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Authors
  1. Olga Taussky
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Editors and Affiliations

  1. Department of Mathematics, University of Illinois College of Liberal Arts and Sciences, Box 4348, Chicago, IL, 60680, USA

    Bhama Srinivasan

  2. Department of Mathematics, Northwestern University College of Arts and Sciences, Lunt Hall, Evanston, IL, 60201, USA

    Judith D. Sally

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© 1983 Springer-Verlag New York Inc.

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Taussky, O. (1983). Some Non-commutative Methods in Algebraic Number Theory. In: Srinivasan, B., Sally, J.D. (eds) Emmy Noether in Bryn Mawr. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5547-5_4

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  • DOI: https://doi.org/10.1007/978-1-4612-5547-5_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-5549-9

  • Online ISBN: 978-1-4612-5547-5

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