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Viac informácií o knihe Representation Theory of Finite Monoids

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Anotácia knihy

This text provides a unique and novel introduction to the representation theory of finite monoids and is aimed at graduate students who have reached a certain level of mathematical maturity. Comfort with module theory, familiarity with group representation theory in the non-modular setting, and the basics of Wedderburn theory, are prerequisites for graduate level study. Thoroughly worked examples, chapter notes, and exercises provide the bells and whistles for graduate accessibility. 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. Earlier approaches to the representation theory of finite monoids worked with Semigroup algebras and explicit matrix representations. Knowledge of Semigroup theory is not expected for the diverse readership expected to benefit from this exposition. The approach taken in this book is highly module theoretic and follows the modern flavor of the theory of quasi-hereditary algebras and stratified algebras. The content is divided into 7 parts. Part I consists of 4 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. Part III concerns character theory and contains computing character tables. Part IV is devoted to the representation theory of monoids and part V presents the theory of the Rhodes radical. Part VI contains the apex of the text in its devotion of 3 chapters to applications. The last part, VII, is concerned with advanced topics. Familiarity with homological algebra is assumed.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Algebra

• Celý názov: Representation Theory of Finite Monoids
• Autor: Benjamin Steinberg
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 320
• EAN: 9783319439303
• ISBN: 3319439308
• ID: 13510793
• Nakladateľ: Springer International Publishing AG
• Hmotnosť: 592 g
• Rozmery: 154 × 234 × 19 mm
• Dátum vydania: 19. December 2016

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