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A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond pp 339–366Cite as

An Invitation to Noncommutative Algebra

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Part of the book series: Association for Women in Mathematics Series ((AWMS,volume 18))

Abstract

This is a brief introduction to the world of Noncommutative Algebra aimed at advanced undergraduate and beginning graduate students.

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Notes

  1. 1.

    In categorical language, this is the question of whether the category of H-modules (or of representations of H) has a monoidal structure.

  2. 2.

    In this case, the category of H-modules is a rigid monoidal category.

  3. 3.

    For more settings of quantum symmetry, see, e.g. [63, Chapter 11] for a categorical framework.

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Acknowledgements

C. Walton is partially supported by the US National Science Foundation with grants #DMS-1663775 and 1903192, and with a research fellowship from the Alfred P. Sloan foundation. The author thanks the anonymous referees and Gene Abrams for their valuable feedback.

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  1. The University of Illinois at Urbana-Champaign, Department of Mathematics, Urbana, IL, USA

    Chelsea Walton

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Editors and Affiliations

  1. Science Writing Advanced Academic Program, John Hopkins University, Baltimore, MD, USA

    Susan D'Agostino

  2. Department of Mathematics and Computer Science, Dickinson College, Carlisle, PA, USA

    Sarah Bryant

  3. Department of Mathematics, University of San Diego, San Diego, CA, USA

    Amy Buchmann

  4. Department of Mathematics and Computer Science, Belmont University, Nashville, TN, USA

    Michelle Craddock Guinn

  5. Division of Sciences and Mathematics, University of the District of Columbia, Washington, DC, USA

    Leona Harris

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Walton, C. (2019). An Invitation to Noncommutative Algebra. In: D'Agostino, S., Bryant, S., Buchmann, A., Guinn, M., Harris, L. (eds) A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond . Association for Women in Mathematics Series, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-030-19486-4_23

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