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This book scrutinizes historical controversies regarding the past and the future of Japan in the age of Emperor Akihito. In Section I, each chapter discusses a different aspect of the historical controversy. The text then moves on to present a collection of the public discourse of Emperor Akihito, which offers a valuable source for analysis. This investigation of the constitutionally prescribed role of the Emperor as a national symbol will serve to help the reader understand contemporary Japanese society.
This book scrutinizes historical controversies regarding the past and the future of Japan in the age of Emperor Akihito. In Section I, each chapter discusses a different aspect of the historical controversy. The text then moves on to present a collection of the public discourse of Emperor Akihito, which offers a valuable source for analysis. This investigation of the constitutionally prescribed role of the Emperor as a national symbol will serve to help the reader understand contemporary Japanese society.
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
This volume contains the proceedings of the conference Representation Theory XVI, held from June 25–29, 2019, in Dubrovnik, Croatia. The articles in the volume address selected aspects of representation theory of reductive Lie groups and vertex algebras, and are written by prominent experts in the field as well as junior researchers. The three main topics of these articles are Lie theory, number theory, and vertex algebras.
The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.
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