This selection of problems in Group Theory is principally aimed at undergraduate (honours) and postgraduate students of mathematics. Excepting a few, these problems are meant only to supplement the existing ones in standard texts. The comments interspersed in the text help to put the problems in perspective with other problems and with the subject itself. The intention of the book is two-fold: to introduce via problems some concepts not usually taught at the master's level, and reinforce exis...

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras. Highlighting their significant connection with classical K-theory—which plays an important role in mathematics and its related emerging fields—this book allows readers from diverse mathematical backgrounds to understand and appreciate these structures. The articles on LPAs are mostly of an expository nature and the ones dealing with K-theory provide new proofs and are acces...

**A stunning, globe-spanning journey through the beauty and power of mathematics“Powerful, passionate, and inspiring.” —New York TimesA New York Times Bestseller**What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of wa...

People interact and perform in group settings in all areas of life. Organizations and businesses are increasingly structuring work around groups and teams. Every day, we work in groups such as families, friendship groups, societies and sports teams, to make decisions and plans, solve problems, perform physical tasks, generate creative ideas, and more.Group Performance outlines the current state of social psychological theories and findings concerning the performance of gro...

During the past 30 years, there have been a steadily increasing number of scientific and popular publications dealing with lying and deception. Questions about the extent to which public officials are deceptive are standard fare in current magazines and newspapers. This volume aims to present on a more precise conceptualization of this phenomenon, manifested in some well-known constructions like spin, hype, doublespeak, equivocation, and contextomy (quoting out of context).The cont...

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algeb...

Originating in Japan early in the 1970s as a simple sing-along technology, karaoke has become a hybrid media form designed to integrate mass-mediated popular music, video images, computer graphics, and the live musical performance of its human users. Not only has karaoke become a multimillion-dollar entertainment industry, its varied uses have also evolved into diverse popular cultural and social practices among many people around the world. Based on a two-year ethnographic study, this boo...

The objectives of the volume are to direct the field’s attention to the unique value of studying interactions between members of different groups and to offer the most up-to-date summaries of prominent and cutting-edge scholarship on this topic written by leading scholars in the field.A central theme of the volume is that improvement in intergroup relationships will only be possible if social scientists simultaneously take into account both the attitudes, beliefs, emotions, and act...

In this book, Michael W. Kramer applies uncertainty reduction theory (URT)--a key theory in current communication scholarship--to the context of organizational communication. Examining URT and the range of research applicable to organizational settings, Kramer proposes a groundbreaking theory of managing uncertainty (TMU), which synthesizes prior research while also addressing its criticisms. Examples are provided to illustrate the principles of the TMU at both the individual and collectiv...

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer S...

This volume is a consequence of a series of seminars presented by the authors at the Infrared Spectroscopy Institute, Canisius College, Buffalo, New York, over the last nine years. Many participants on an intermediate level lacked a sufficient background in mathematics and quantum mechan ics, and it became evident that a non mathematical or nearly nonmathe matical approach would be necessary. The lectures were designed to fill this need and proved very successful. As a result of the intere...

Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more inf...