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The Structure of Affine Algebraic Monoids in Terms of Kernel Data

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Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics

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

Abstract

We describe the structure of affine algebraic monoids M in terms of kernel data, especially the interconnection between ker(M) or the isotropy groups at minimal idempotents under the natural actions and the unipotent radical R u (G) of the unit group G of M.

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Acknowledgements

This work is partially supported by NSFC Grant 11171202, Guangzhou University Grant 2001 and Yangcheng Scholar Project 10A033D.

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Authors and Affiliations

  1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong, China

    Wenxue Huang

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  1. Wenxue Huang
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Correspondence to Wenxue Huang .

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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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Huang, W. (2014). The Structure of Affine Algebraic Monoids in Terms of Kernel Data. 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_6

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