The Representation Theory of the Increasing Monoid PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Representation Theory of the Increasing Monoid PDF full book. Access full book title The Representation Theory of the Increasing Monoid by Sema Güntürkün. Download full books in PDF and EPUB format.
Author: Sema Güntürkün
Publisher: American Mathematical Society
ISBN: 1470465469
Category : Mathematics
Languages : en
Pages : 148
Get Book Here
Book Description
View the abstract.
Author: Sema Güntürkün
Publisher: American Mathematical Society
ISBN: 1470465469
Category : Mathematics
Languages : en
Pages : 148
Get Book Here
Book Description
View the abstract.
Author: SEMA GUNTURKUN; ANDREW SNOWDEN.
Publisher:
ISBN: 9781470475147
Category : Electronic books
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Benjamin Steinberg
Publisher: Springer
ISBN: 3319439324
Category : Mathematics
Languages : en
Pages : 324
Get Book Here
Book Description
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.
Author: Anna Beliakova
Publisher: American Mathematical Soc.
ISBN: 1470424606
Category : Mathematics
Languages : en
Pages : 376
Get Book Here
Book Description
The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher representation theory, aims to understand a new level of structure present in representation theory. Rather than studying actions of algebras on vector spaces where algebra elements act by linear endomorphisms of the vector space, higher representation theory describes the structure present when algebras act on categories, with algebra elements acting by functors. The new level of structure in higher representation theory arises by studying the natural transformations between functors. This enhanced perspective brings into play a powerful new set of tools that deepens our understanding of traditional representation theory. This volume exhibits some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher representation theory. The companion volume (Contemporary Mathematics, Volume 684) is devoted to categorification in geometry, topology, and physics.
Author: Dieter Degrijse
Publisher: American Mathematical Society
ISBN: 1470467046
Category : Mathematics
Languages : en
Pages : 154
Get Book Here
Book Description
View the abstract.
Author: Dumitru I. Stamate
Publisher: Springer Nature
ISBN: 3030521117
Category : Mathematics
Languages : en
Pages : 185
Get Book Here
Book Description
This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and multiplier ideals in algebra. This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title "Multigraded Algebra and Applications" (ISBN 978-3-319-90493-1).
Author: Quoc-Hung Nguyen
Publisher: American Mathematical Society
ISBN: 1470467224
Category : Mathematics
Languages : en
Pages : 136
Get Book Here
Book Description
View the abstract.
Author: Roelof Bruggeman
Publisher: American Mathematical Society
ISBN: 1470465450
Category : Mathematics
Languages : en
Pages : 186
Get Book Here
Book Description
View the abstract.
Author: Pavel Galashin
Publisher: American Mathematical Society
ISBN: 1470467003
Category : Mathematics
Languages : en
Pages : 92
Get Book Here
Book Description
View the abstract.
Author: S. Launois
Publisher: American Mathematical Society
ISBN: 1470466945
Category : Mathematics
Languages : en
Pages : 122
Get Book Here
Book Description
View the abstract.
