Editors:
- Comprised of both expository and research articles accessible to beginners with minimal background
- A diversity of topics explaining algebraic monoids and combinatorics offer the reader a true panorama of the field
- Written by pioneers of the subject and unique in its presentation and content, it meets a long-awaited demand in the field of algebraic monoids and semi groups
Part of the book series: Fields Institute Communications (FIC, volume 71)
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Table of contents (15 chapters)
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Front Matter
About this book
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids.
Topics presented include:
structure and representation theory of reductive algebraic monoids
monoid schemes and applications of monoids
monoids related to Lie theory
equivariant embeddings of algebraic groups
constructions and properties of monoids from algebraic combinatorics
endomorphism monoids induced from vector bundles
Hodge–Newton decompositions of reductive monoids
A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semi groups are strongly π-regular.
Graduate students as well as researchers working in the fields of algebraic (semi)group theory, algebraic combinatorics and the theory of algebraic group embeddings will benefit from this unique and broad compilation of some fundamental results in (semi)group theory, algebraic group embeddings and algebraic combinatorics merged under the umbrella of algebraic monoids.
Editors and Affiliations
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Department of Mathematics, Tulane University, New Orleans, USA
Mahir Can
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Department of Mathematical Sciences, University of South Carolina, Aiken, USA
Zhenheng Li
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Department of Mathematics, City College of New York, New York, USA
Benjamin Steinberg
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School of Mathematics and Statistics, Carleton University, Ottawa, Canada
Qiang Wang
Bibliographic Information
Book Title: Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics
Editors: Mahir Can, Zhenheng Li, Benjamin Steinberg, Qiang Wang
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-1-4939-0938-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4939-0937-7Published: 12 June 2014
Softcover ISBN: 978-1-4939-5600-5Published: 23 August 2016
eBook ISBN: 978-1-4939-0938-4Published: 11 June 2014
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: X, 354
Number of Illustrations: 29 b/w illustrations, 5 illustrations in colour
Topics: Combinatorics, Group Theory and Generalizations, Topological Groups, Lie Groups, Algebraic Geometry