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Benjamin Steinberg:

Representation Theory of Finite Monoids - Taschenbuch

2016, ISBN: 3319439308

[EAN: 9783319439303], Neubuch, [SC: 0.0], [PU: Springer International Publishing], ALGEBRA; GRAPH - GRAPHENTHEORIE; ALGEBRA / GRUPPE (MATHEMATISCH); (MATHEMATISCH) GRUPPENTHEORIE; KOMBINA… Mehr…

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Representation Theory of Finite Monoids Benjamin Steinberg Author - neues Buch

ISBN: 9783319439303

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… Mehr…

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Benjamin Steinberg:
Representation Theory of Finite Monoids - neues Buch

2016

ISBN: 3319439308

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… Mehr…

Nr. 77505371. Versandkosten:, 2-5 Werktage, DE. (EUR 0.00)
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Universitext / Representation Theory of Finite Monoids - Benjamin Steinberg
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Benjamin Steinberg:
Universitext / Representation Theory of Finite Monoids - neues Buch

2016, ISBN: 3319439308

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… Mehr…

Nr. 77505371. Versandkosten:, 2-5 Werktage, DE. (EUR 0.00)
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Representation Theory of Finite Monoids (Universitext) - Steinberg, Benjamin
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Steinberg, Benjamin:
Representation Theory of Finite Monoids (Universitext) - Erstausgabe

2016, ISBN: 9783319439303

Taschenbuch

Springer, Taschenbuch, Auflage: 1st ed. 2016, 344 Seiten, Publiziert: 2016-12-19T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 45303421, 5.84 kg, Verkaufsrang: 2345053, Algebra & Zahlen… Mehr…

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Details zum Buch
Representation Theory of Finite Monoids Benjamin Steinberg Author

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 modern flavor 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 material giving a modern module-theoretic treatment of the Clifford –Munn–Ponizovskii theory of irreducible representations. Part III concerns character theory and the character table of a monoid. Part IV is devoted to the representation theory of inverse monoids and categories and Part V presents the theory of the Rhodes radical with applications to triangularizability. Part VI features 3 chapters devoted to applications to diverse areas of mathematics and forms a high point of the text. The last part, Part VII, is concerned with advanced topics. There are also 3 appendices reviewing finite dimensional algebras, group representation theory, and Möbius inversion.

Detailangaben zum Buch - Representation Theory of Finite Monoids Benjamin Steinberg Author


EAN (ISBN-13): 9783319439303
ISBN (ISBN-10): 3319439308
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2016
Herausgeber: Springer International Publishing Core >1

Buch in der Datenbank seit 2016-08-16T16:43:23+02:00 (Vienna)
Detailseite zuletzt geändert am 2024-02-13T15:43:18+01:00 (Vienna)
ISBN/EAN: 9783319439303

ISBN - alternative Schreibweisen:
3-319-43930-8, 978-3-319-43930-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: steinberg, ben stein, benjamin, clifford
Titel des Buches: monoid, benjamin, mono, representation theory, steinberg, fini


Daten vom Verlag:

Autor/in: Benjamin Steinberg
Titel: Universitext; Representation Theory of Finite Monoids
Verlag: Springer; Springer International Publishing
320 Seiten
Erscheinungsjahr: 2016-12-19
Cham; CH
Gedruckt / Hergestellt in Niederlande.
Gewicht: 5,838 kg
Sprache: Englisch
80,24 € (DE)
82,49 € (AT)
88,50 CHF (CH)
POD
XXIV, 320 p. 28 illus., 15 illus. in color.

BC; Group Theory and Generalizations; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; automata theory; finite monoids; monoid applications Markov chains; monoid applications automata theory; monoid applications combinatorics; monoid applications probability; representation theory finite monoids; representation theory inverse monoids; zeta function languages; monoid algebras; combinatorics; Probability Theory and Stochastic Processes; Combinatorics; Group Theory and Generalizations; Probability Theory; Discrete Mathematics; Wahrscheinlichkeitsrechnung und Statistik; Stochastik; Diskrete Mathematik; EA

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.  

Preface.- List of Figures.- Introduction.- I. Elements of Monoid Theory.- 1. The Structure Theory of Finite Monoids.- 2. R-trivial Monoids.- 3. Inverse Monoids.- II. Irreducible Representations.- 4. Recollement: The Theory of an Idempotent.- 5. Irreducible Representations.- III. Character Theory.- 6. Grothendieck Ring.- 7. Characters and Class Functions.- IV. The Representation Theory of Inverse Monoids.- 8. Categories and Groupoids.- 9. The Representation Theory of Inverse Monoids.- V. The Rhodes Radical.- 10. Bi-ideals and R. Steinberg's Theorem.- 11. The Rhodes Radical and Triangularizability.- VI. Applications.- 12. Zeta Functions of Languages and Dynamical Systems.- 13. Transformation Monoids.- 14. Markov Chains.- VII. Advanced Topics.- 15. Self-injective, Frobenius and Symmetric Algebras.- 16. Global Dimension.- 17. Quivers of Monoid Algebras.- 18. Further Developments.- A. Finite Dimensional Algebras.- B. Group Representation Theory.- C. Incidence Algebras and Möbius Inversion.- References.- Index of Notation.- Subject Index.

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 in semigroups

Contains exercises, chapter notes, and thoroughly worked examples



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