| 书目名称 | Representation Theory of Finite Monoids | | 编辑 | Benjamin Steinberg | | 视频video | | | 概述 | An entire part of the text is devoted to applications to Markov chains, combinatorics, and automata theory.Accessible to a wide readership of graduate students and researchers, including non-experts i | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automata theory. Comfort with module theory, a familiarity with ordinary group representation theory, and the basics of Wedderburn theory, are prerequisites for advanced graduate level study. Researchers in algebra, algebraic combinatorics, automata theory, and probability theory, will find this text enriching with its thorough presentation of applications of the theory to these fields. .Prior knowledge of semigroup theory is not expected for the diverse readership that may benefit from this exposition. The approach taken in this book is highly module-theoretic and follows the modernflavor of the theory of finite dimensional algebras. The content is divided into 7 parts. Part I consists of 3 preliminary chapters with no prior knowledge beyond group theory assumed. Part II forms the core of the m | | 出版日期 | Textbook 2016 | | 关键词 | automata theory; finite monoids; monoid applications Markov chains; monoid applications automata theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-43932-7 | | isbn_softcover | 978-3-319-43930-3 | | isbn_ebook | 978-3-319-43932-7Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 19:32:33
