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Quiver Representations

Author : Ralf Schiffler
Publisher : Springer
Release Date : 2014-09-04
ISBN : 3319092049
Pages : 230 pages
Rating : 4.9/5 (92 Download)

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Download Free Quiver Representations PDF by Ralf Schiffler Full Book and published by Springer. This book was released on 2014-09-04 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.

Persistence Theory: From Quiver Representations to Data Analysis

Author : Steve Y. Oudot
Publisher : American Mathematical Soc.
Release Date : 2017-05-17
ISBN : 1470434431
Pages : 218 pages
Rating : 4.0/5 (434 Download)

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Download Free Persistence Theory: From Quiver Representations to Data Analysis PDF by Steve Y. Oudot Full Book and published by American Mathematical Soc.. This book was released on 2017-05-17 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.

An Introduction to Quiver Representations

Author : Harm Derksen
Publisher : American Mathematical Soc.
Release Date : 2017-11-29
ISBN : 1470425564
Pages : 344 pages
Rating : 4.0/5 (425 Download)

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Download Free An Introduction to Quiver Representations PDF by Harm Derksen Full Book and published by American Mathematical Soc.. This book was released on 2017-11-29 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The material in the opening chapters is developed starting slowly with topics such as homological algebra, Morita equivalence, and Gabriel's theorem. Next, the book presents Auslander-Reiten theory, including almost split sequences and the Auslander-Reiten transform, and gives a proof of Kac's generalization of Gabriel's theorem. Once this basic material is established, the book goes on with developing the geometric invariant theory of quiver representations. The book features the exposition of the saturation theorem for semi-invariants of quiver representations and its application to Littlewood-Richardson coefficients. In the final chapters, the book exposes tilting modules, exceptional sequences and a connection to cluster categories. The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout the text. The book will also be of use to experts in such areas as representation theory, invariant theory and algebraic geometry, who want to learn about applications of quiver representations to their fields.

Quiver Grassmannians of Extended Dynkin Type D Part I: Schubert Systems and Decompositions into Affine Spaces

Author : Oliver Lorscheid
Publisher : American Mathematical Soc.
Release Date : 2019-12-02
ISBN : 1470436477
Pages : 78 pages
Rating : 4.0/5 (436 Download)

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Download Free Quiver Grassmannians of Extended Dynkin Type D Part I: Schubert Systems and Decompositions into Affine Spaces PDF by Oliver Lorscheid Full Book and published by American Mathematical Soc.. This book was released on 2019-12-02 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let Q be a quiver of extended Dynkin type D˜n. In this first of two papers, the authors show that the quiver Grassmannian Gre–(M) has a decomposition into affine spaces for every dimension vector e– and every indecomposable representation M of defect −1 and defect 0, with the exception of the non-Schurian representations in homogeneous tubes. The authors characterize the affine spaces in terms of the combinatorics of a fixed coefficient quiver for M. The method of proof is to exhibit explicit equations for the Schubert cells of Gre–(M) and to solve this system of equations successively in linear terms. This leads to an intricate combinatorial problem, for whose solution the authors develop the theory of Schubert systems. In Part 2 of this pair of papers, they extend the result of this paper to all indecomposable representations M of Q and determine explicit formulae for the F-polynomial of M.

Arrows from my Quiver

Author : James Caughey
Publisher : BoD – Books on Demand
Release Date : 2021-11-04
ISBN : 3752530464
Pages : 482 pages
Rating : 4.2/5 (53 Download)

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Download Free Arrows from my Quiver PDF by James Caughey Full Book and published by BoD – Books on Demand. This book was released on 2021-11-04 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1868.

In a Warrior's Quiver

Author : D.L. Crager
Publisher : Christian Faith Publishing, Inc.
Release Date : 2021-12-16
ISBN : 1639034757
Pages : 308 pages
Rating : 4.9/5 (34 Download)

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Download Free In a Warrior's Quiver PDF by D.L. Crager Full Book and published by Christian Faith Publishing, Inc.. This book was released on 2021-12-16 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before Journey's End, there was a beginning. The wealthiest and most powerful reigning king--King Solomon--may have died three thousand years ago, but because of his heavenly blessed wisdom, the scientific and religious world as we know it today is about to erupt as guarded truths of the beginning of times are now soon to be exposed. At the beginning, King Solomon wisely gave his general--General Shuriah--a mission of epic proportions. The older general was Solomon's most trusted guardian since Solomon's birth to Bathsheba and King David. General Shuriah and thousands of his Israelite soldiers are now sailing across the Mediterranean Sea to a land of their enemies to exhume and safely move the greatest treasures of treasures he himself stumbled upon a year earlier. During the starting days of the journey, the old general is consumed with reflecting back to his youth. Memories come alive of his struggles in relationships, intense training, and many combat situations as he fought hard to someday become a mighty warrior for King David. Young Shuriah is very unpredictable, yet he is extremely admired and feared at the same time because he possesses extraordinary, almost supernatural, abilities to kill and the mental intuition to strategize for war. At the age of fifteen, Shuriah has become the youngest ever to achieve the coveted honor of being a mighty warrior, having killed more than three hundred enemy soldiers in one battle. But this happened only after his stepfather Uriah the Hittite, is murdered in battle. Through certain events, it is revealed that King David secretly ordered the murder of Uriah, after discovering Bathsheba, Shuriah's stepmother and Uriah's wife, is pregnant with his child. Now, the new mighty warrior must face the toughest and most painful battle in his life, which could bring his king to his knees or even his grave.

North American Bows, Arrows, and Quivers

Author : Otis T. Mason
Publisher :
Release Date : 1893
ISBN :
Pages : 216 pages
Rating : 4.8/5 (7 Download)

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Download Free North American Bows, Arrows, and Quivers PDF by Otis T. Mason Full Book and published by . This book was released on 1893 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Lexical Concordance to the Poetical Works of Percy Bysshe Shelley

Author :
Publisher :
Release Date : 1892
ISBN :
Pages : 844 pages
Rating : 4.R/5 (3 Download)

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Download Free A Lexical Concordance to the Poetical Works of Percy Bysshe Shelley PDF by Full Book and published by . This book was released on 1892 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Annual Report of the Board of Regents of the Smithsonian Institution

Author : Smithsonian Institution. Board of Regents
Publisher :
Release Date : 1894
ISBN :
Pages : 1042 pages
Rating : 4.0/5 (15 Download)

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Download Free Annual Report of the Board of Regents of the Smithsonian Institution PDF by Smithsonian Institution. Board of Regents Full Book and published by . This book was released on 1894 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1847-1963/64 include the Institution's Report of the Secretary.

Cyclopædia of Biblical, Theological, and Ecclesiastical Literature

Author : John McClintock
Publisher :
Release Date : 1891
ISBN :
Pages : pages
Rating : 4.1/5 (858 Download)

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Download Free Cyclopædia of Biblical, Theological, and Ecclesiastical Literature PDF by John McClintock Full Book and published by . This book was released on 1891 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download Catalogue of the Anthropological Collection Lent by Colonel Lane Fox for Exhibition in the Bethnal Green Branch of the South Kensington Museum, June 1874 PDF Full

Catalogue of the Anthropological Collection Lent by Colonel Lane Fox for Exhibition in the Bethnal Green Branch of the South Kensington Museum, June 1874

Author : Augustus Henry Lane-Fox Pitt-Rivers
Publisher :
Release Date : 1874
ISBN :
Pages : 184 pages
Rating : 4.1/5 (951 Download)

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Download Free Catalogue of the Anthropological Collection Lent by Colonel Lane Fox for Exhibition in the Bethnal Green Branch of the South Kensington Museum, June 1874 PDF by Augustus Henry Lane-Fox Pitt-Rivers Full Book and published by . This book was released on 1874 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

House documents

Author :
Publisher :
Release Date : 1894
ISBN :
Pages : pages
Rating : 4.B/5 (115 Download)

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Download Free House documents PDF by Full Book and published by . This book was released on 1894 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebras, Rings and Modules, Volume 2

Author : Michiel Hazewinkel
Publisher : CRC Press
Release Date : 2017-04-11
ISBN : 1351869876
Pages : 364 pages
Rating : 4.1/5 (869 Download)

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Download Free Algebras, Rings and Modules, Volume 2 PDF by Michiel Hazewinkel Full Book and published by CRC Press. This book was released on 2017-04-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.

Classical Studies in Honour of Henry Drisler

Author : Henry Drisler
Publisher :
Release Date : 1894
ISBN :
Pages : 390 pages
Rating : 4.0/5 (15 Download)

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Download Free Classical Studies in Honour of Henry Drisler PDF by Henry Drisler Full Book and published by . This book was released on 1894 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Century Dictionary and Cyclopedia

Author : William Dwight Whitney
Publisher :
Release Date : 1895
ISBN :
Pages : 898 pages
Rating : 4.D/5 ( Download)

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Download Free The Century Dictionary and Cyclopedia PDF by William Dwight Whitney Full Book and published by . This book was released on 1895 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Sunday School Teacher's Bible Manual

Author : Robert Hunter
Publisher :
Release Date : 1894
ISBN :
Pages : 862 pages
Rating : 4.:/5 (59 Download)

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Download Free The Sunday School Teacher's Bible Manual PDF by Robert Hunter Full Book and published by . This book was released on 1894 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bookseller

Author :
Publisher :
Release Date : 1888
ISBN :
Pages : pages
Rating : 4.L/5 (31 Download)

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Download Free Bookseller PDF by Full Book and published by . This book was released on 1888 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: