This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.
This book constitutes a new history of the complex memory cultures that persisted within post-war West Germany, examining the attitudes of ordinary people to the second wave of Nazi war crimes trials ushered in during the 1960s. It explores responses to the prospect of continuing investigations, the reception afforded to the defendants, and the sheer resonance that such proceedings could generate within a local community. Drawing upon case studies from across the Federal Republic, it bridges a gap between the current historiography and localised memory studies, and analyses of war crimes trials. Far from viewing the 1960s as an uncomplicated decade of change, this book emphasises the range of voices that were competing to make themselves heard during this period, whether they came from survivors’ groups, crusading journalists and students, or from former prisoners of war, veterans’ organisations and the war widowed. This diversity of opinion and experience enabled the persistence of silences, distortions and mythologies that could afford some level of distance to be imposed between the perpetrators of the Nazi genocide, and the ordinary West German population. The process of ‘coming to terms with the past’ was thus complicated and protracted.
This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.