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The Beginnings of the Theory of Hopf Algebras

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Abstract

We consider issues related to the origins, sources and initial motivations of the theory of Hopf algebras. We consider the two main sources of primeval development: algebraic topology and algebraic group theory. Hopf algebras are named from the work of Heinz Hopf in the 1940’s. In this note we trace the infancy of the subject back to papers from the 40’s, 50’s and 60’s in the two areas mentioned above. Many times we just describe—and/or transcribe parts of—some of the relevant original papers on the subject.

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Authors and Affiliations

  1. Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM—CONICET, (5000) Ciudad Universitaria, Córdoba, Argentina

    Nicolás Andruskiewitsch

  2. Facultad de Ciencias, Universidad de la República, Iguá 4225, Montevideo, Uruguay

    Walter Ferrer Santos

Authors
  1. Nicolás Andruskiewitsch
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  2. Walter Ferrer Santos
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Correspondence to Walter Ferrer Santos.

Additional information

The first author was supported by Mincyt (Cba), CONICET, Foncyt and Secyt (UNC).

The second author was partially supported by Pedeciba (Ur) and Foncyt (Ar).

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Andruskiewitsch, N., Ferrer Santos, W. The Beginnings of the Theory of Hopf Algebras. Acta Appl Math 108, 3–17 (2009). https://doi.org/10.1007/s10440-008-9393-1

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