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Representations of Finite Groups and Algebras

In: A History of Algebra

Author

Listed:
  • Bartel Leenert van der Waerden

    (Universität Zürich, Mathematisches Institut)

Abstract

The theory of representations of finite groups by matrices with complex matrix elements was developed, nearly simultaneously, by three authors: Theodor Molien, Georg Frobenius, and William Burnside. Their earliest papers on this subject are: Th. Molien: Eine Bemerkung zur Theorie der homogenen Substitutionsgruppen, Sitzungsberichte der Naturforscher-Gesellschaft Dorpat (= Yurev in Estonia) 11, p. 259–276, presented April 24, 1897, Th. Molien: Über die Anzahl der Variablen einer irreduziblen Substitutionsgruppe, same volume, p. 277–288, presented September 25, 1897, G. Frobenius: Über die Darstellung der endlichen Gruppen durch lineare Transformationen, Sitzungsber. preuss. Akad. Berlin 1897, presented November 18, 1897, W. Burnside: On the Continuous Group that is Defined by Any Given Group of Finite Order, Proceedings London Math. Soc. 29, p. 207–225, read January 10, 1898, W. Burnside: Same title (second paper), same volume, p. 546–565, read June 9, 1898.

Suggested Citation

  • Bartel Leenert van der Waerden, 1985. "Representations of Finite Groups and Algebras," Springer Books, in: A History of Algebra, chapter 0, pages 237-251, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-51599-6_13
    DOI: 10.1007/978-3-642-51599-6_13
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