Quiver

Written in an accessible style and ideal for classroom use, Arrows in a Quiver provides an overview of Indigenous-settler relations, including how land is central to Indigenous identity and how the Canadian state marginalizes Indigenous people. Illustrating the various "arrows in a quiver" that Indigenous people use to fight back, such as grassroots organizing, political engagement, and the courts, Frideres situates "settler colonialism" historically and explains why decolonization requires a fundamental transformation of long-standing government policy for reconciliation to occur. The historical, political, and social context provided by this text offers greater understanding and theorizes what the effective devolution of government power might look like. "A useful introduction to Indigenous issues, especially for post-secondary students in Canada." --Jonathan Dewar, co-editor of Cultivating Canada: Reconciliation through the Lens of Cultural Diversity

This compelling LBGTQ novel by LAMBDA award-winning author Watts explores the unlikely friendship between Libby, the oldest child in a rural Tennessee family of strict evangelical Christians, and Zo, her gender fluid new neighbor.

This book is an introduction to the theory of quiver representations and quiver varieties, starting with basic definitions and ending with Nakajima's work on quiver varieties and the geometric realization of Kac–Moody Lie algebras. The first part of the book is devoted to the classical theory of quivers of finite type. Here the exposition is mostly self-contained and all important proofs are presented in detail. The second part contains the more recent topics of quiver theory that are related to quivers of infinite type: Coxeter functor, tame and wild quivers, McKay correspondence, and representations of Euclidean quivers. In the third part, topics related to geometric aspects of quiver theory are discussed, such as quiver varieties, Hilbert schemes, and the geometric realization of Kac–Moody algebras. Here some of the more technical proofs are omitted; instead only the statements and some ideas of the proofs are given, and the reader is referred to original papers for details. The exposition in the book requires only a basic knowledge of algebraic geometry, differential geometry, and the theory of Lie groups and Lie algebras. Some sections use the language of derived categories; however, the use of this language is reduced to a minimum. The many examples make the book accessible to graduate students who want to learn about quivers, their representations, and their relations to algebraic geometry and Lie algebras.

One of the most riveting and powerful new voices in crime fiction, Peter Leonard delivers a razor-sharp debut thriller. Kate McCall's husband has been killed by her son, Luke, in a tragic bow-hunting accident. While Kate struggles with her son's surly guilt, her first love, Jack, an ex-con, reappears, along with a crew of his former "colleagues." While Jack must convince his partners in crime that he really did lose the heist money, his appearance sets into motion a series of events culminating in a life-and-death confrontation with a gang of killers. Leonard displays remarkable maturity for a first-time novelist in both the plotting of the story and the language of his protagonists. The twists and turns of a love affair, an unrequited crush, and a kidnapping/extortion plot complement a tightly drawn, intimate cast of memorably quick and dim-witted characters. Quiver marks the breakthrough of a new force in thriller writing---an explosive and unforgettable debut.

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 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.

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.