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On Algebraic Semigroups and Monoids

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Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics

Part of the book series: Fields Institute Communications ((FIC,volume 71))

Abstract

We present some fundamental results on (possibly nonlinear) algebraic semigroups and monoids. These include a version of Chevalley’s structure theorem for irreducible algebraic monoids, and the description of all algebraic semigroup structures on curves and complete varieties.

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Acknowledgements

This article is an expanded and reorganized version of notes for lectures at “The Workshop on Algebraic Monoids, Group Embeddings and Algebraic Combinatorics” (Fields Institute, July 3-6, 2012). I thank the organizers of this workshop for giving me the opportunity to present this material, and all participants for fruitful contacts. Special thanks are due to Zhenheng Li for his careful reading of the article and his valuable comments.

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Authors and Affiliations

  1. Institut Fourier, Université de Grenoble, Grenoble, France

    Michel Brion

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  1. Michel Brion
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Correspondence to Michel Brion .

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Editors and Affiliations

  1. Department of Mathematics, Tulane University, New Orleans, Louisiana, USA

    Mahir Can

  2. Department of Mathematical Sciences, University of South Carolina, Aiken, South Carolina, USA

    Zhenheng Li

  3. Department of Mathematics, City College of New York, New York, New York, USA

    Benjamin Steinberg

  4. School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada

    Qiang Wang

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Brion, M. (2014). On Algebraic Semigroups and Monoids. In: Can, M., Li, Z., Steinberg, B., Wang, Q. (eds) Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics. Fields Institute Communications, vol 71. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0938-4_1

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