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Author: Pavel I. Etingof Publisher: American Mathematical Soc. ISBN: 0821853511 Category : Mathematics Languages : en Pages : 228
Book Description
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Author: Pavel I. Etingof Publisher: American Mathematical Soc. ISBN: 0821853511 Category : Mathematics Languages : en Pages : 228
Book Description
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Author: Joan Bresnan Publisher: MIT Press (MA) ISBN: Category : Language Arts & Disciplines Languages : en Pages : 944
Book Description
The editor of this volume, who is also author or coauthor of five of the contributions, has provided an introduction that not only affords an overview of the separate articles but also interrelates the basic issues in linguistics, psycholinguistics and cognitive studies that are addressed in this volume. The twelve articles are grouped into three sections, as follows: "I. Lexical Representation: " The Passive in Lexical Theory (J. Bresnan); On the Lexical Representation of Romance Reflexive Clitics (J. Grimshaw); and Polyadicity (J. Bresnan)."II. Syntactic Representation: " Lexical-Functional Grammar: A Formal Theory for Grammatical Representation (R. Kaplan and J. Bresnan); Control and Complementation (J. Bresnan); Case Agreement in Russian (C. Neidle); The Representation of Case in Icelandic (A. Andrews); Grammatical Relations and Clause Structure in Malayalam (K. P. Monahan); and Sluicing: A Lexical Interpretation Procedure (L. Levin)."III. Cognitive Processing of Grammatical Representations: " A Theory of the Acquisition of Lexical Interpretive Grammars (S. Pinker); Toward a Theory of Lexico-Syntactic Interactions in Sentence Perception (M. Ford, J. Bresnan, and R. Kaplan); and Sentence Planning Units: Implications for the Speaker's Representation of Meaningful Relations Underlying Sentences (M. Ford).
Author: Peter Webb Publisher: Cambridge University Press ISBN: 1107162394 Category : Mathematics Languages : en Pages : 339
Book Description
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Author: Paul van den Broek Publisher: Routledge ISBN: 1135449899 Category : Language Arts & Disciplines Languages : en Pages : 475
Book Description
This book is about building metaphorical bridges--all sorts of bridges. At the most basic level, it concerns the bridges that individuals build to understand the events that they experience--the bridges that connect the events in the mind's eye. At another level, it is about bridges that interconnect findings and theoretical frameworks concerning event comprehension and representation in different age groups, ranging from infancy to adulthood. Finally, it is about building bridges between researchers who share interests, yet may not ordinarily even be aware of each other's work. The success of the book will be measured in terms of the extent to which the contributors have been able to create a picture of the course of development across a wide span in chronological age, and across different types of events, from the fictional to the actual. The individuals whose work is represented in this book conduct their work in a shared environment--they all have an intellectual and scholarly interest in event comprehension and representation. These interests are manifest in the overlapping themes of their work. These include a focus on how people come to temporally integrate individual "snapshots" to form a coherent event that unfolds over time, to understand cause and effect, and to appreciate the role of the goal of events. Another overlapping theme involves the possibility of individual differences. These themes are apparent in work on the early development of representations of specific episodes and autobiographical memories, and comprehension of complex events such as stories involving multiple characters and emotions. The editors of this volume had two missions: * to create a development span by bringing together researchers working from infancy to adulthood, and * to create a bridge between individuals working from within the text comprehension perspective, within the naturalistic perspective, and with laboratory analogues to the naturalistic perspective. Their measure of success will be the extent to which they have been able to create a picture of the course of development across a wide span in chronological age, and across different types of events--from fictional to actual.
Author: Sarah Wessel Publisher: Routledge ISBN: 1000479811 Category : Political Science Languages : en Pages : 227
Book Description
This book examines Egypt’s turbulent and contradictory political period (2011-2015) as key to understanding contemporary politics in the country and the developments in the Arab region after the mass protests in 2010/11, more broadly. In doing so, it breaks new ground in the study of political representation, providing analytical innovation to the study of disenchantment with politics, democracy fatigue and social cohesion. Based on five years of intense fieldwork, the author provides rare insights into local and national ideas on politics, justice and identity, and on how people situate themselves and Egypt in the regional and global context. It analyzes how the creation of an alternate, political system was discussed and negotiated among the Egyptian population, the military, the government, public figures, the media, and international actors, and yet nevertheless today, Egypt has a new political regime that is the most repressive in the countries’ modern history. Finally, it recalls the emotions and perceptions of individuals and collectives and interlinks these local perspectives to national events and developments through time. This book will be of key interest to scholars and students of democratization and authoritarianism, Middle East Studies, political representation and informality, collective action, and more broadly to cultural studies and international relations.
Author: Gianni Bosi Publisher: Springer Nature ISBN: 3030342263 Category : Technology & Engineering Languages : en Pages : 376
Book Description
This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
Author: Ofra Mayseless Publisher: Cambridge University Press ISBN: 1139455826 Category : Psychology Languages : en Pages : 435
Book Description
The study of parents from their own perspective not just as socializing agents of their children has been long neglected. This book summarizes and presents the new and surging literature on parenting representations namely parents' views, emotions and internal world regarding their parenting. Within this area, several prominent researchers typically coming from the attachment tradition suggested various ways of assessing parenting representations, mostly by way of semi-structured interviews. This book presents their conceptualizations and includes detailed descriptions of their interviews and their coding schemes. In addition, a review and summary of the growing number of findings in this domain and an integrated conceptualization that serves a theoretical base for future research are presented. Finally, the clinical implications of the study of parenting representations are discussed at large. Clinical notions and conceptualizations regarding parenting representations are presented and thoroughly discussed including detailed case studies that demonstrate among other things intergenerational transmission of representations.
Author: Elizabeth Susan Wahl Publisher: Stanford University Press ISBN: 0804736502 Category : Literary Criticism Languages : en Pages : 372
Book Description
This book explores how representations of intimacy between women included both a sexualized model of the "lesbian" tribade and an "idealized" model that portrayed female friendship as devoid of sexual expression.
Author: Richard Kimberly Heck Publisher: Oxford University Press ISBN: 0198861591 Category : Philosophy Languages : en Pages : 444
Book Description
Modes of Presentation analyses a collection of problems, known as 'Frege's puzzle', resulting from how thinkers and speakers have a limited perspective on reference in thought and language. Heck argues that these puzzles have much to teach us both about the foundations of cognition and the nature of linguistic communication.
Author: Diedrich Wolter Publisher: Springer Science & Business Media ISBN: 3540690115 Category : Technology & Engineering Languages : en Pages : 199
Book Description
This book demonstrates bene?ts of abstract and qualitative reasoning that have not received much attention in the context of autonomous robotics before. Bremen, Christian Freksa December 2007 Director of the SFB/TR 8 Spatial Cognition Preface This book addresses spatial representations and reasoning techniques for - bile robot mapping, providing an analysis of fundamental representations and processes involved. A spatial representation based on shape information is p- posed and shape analysis techniques are developed to tackle the correspondence problem in robot mapping. A general mathematical formulation is presented to provide the formal ground for an e?cient matching of con?gurations of objects. This book is a slightly revised version of my doctoral thesis submitted to the Faculty of Mathematics and Computer Science of the University of Bremen, Germany. Manycontributeto the developmentofa dissertation,butsomeofthemstand out. Christian Freksa, I thank you for supporting and encouraging my work, for introducing me to interdisciplinary work, for giving me the freedom to develop this dissertation, and for providing an enjoyable atmosphere to work in. Longin Jan Latecki, thank you for countless in-depth discussions helping me to develop andtopositionmywork,forthefruitfulcollaboration,andformakingaresearch stay possible that has been very valuable to me. I thank the research groups in Bremen and Philadelphia for helpful discussions and feedback, in particular Jan Oliver Wallgrun. ̈ I also thank Kai-Florian Richter, Sven Bertel, and Lutz Frommberger for feedback on this work. Robert Ross, thank you for helping to proof-read this dissertation.
Author: Pavel I. Etingof
Author: Pavel I. Etingof
Author: Joan Bresnan
Author: Peter Webb
Author: Paul van den Broek
Author: Sarah Wessel
Author: Gianni Bosi
Author: Ofra Mayseless
Author: Elizabeth Susan Wahl
Author: Richard Kimberly Heck
Author: Diedrich Wolter