The Classification Of Subfactors With Index At Most 5 Frac 1 4
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Classification Of Subfactors With Index At Most 5 Frac 1 4
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Author : NARJESS AFZALY; SCOTT MORRISON; DAVID PENNEYS.
language : en
Publisher:
Release Date : 2023
Classification Of Subfactors With Index At Most 5 Frac 1 4 written by NARJESS AFZALY; SCOTT MORRISON; DAVID PENNEYS. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Electronic books categories.
The Classification Of Subfactors With Index At Most 5 Frac 1 4
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Author : Narjess Afzaly
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-07
The Classification Of Subfactors With Index At Most 5 Frac 1 4 written by Narjess Afzaly and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-07 with Mathematics categories.
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Topological Quantum Computation
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Author : Zhenghan Wang
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Topological Quantum Computation written by Zhenghan Wang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators. This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter.
Theory Of Operator Algebras I
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Author : Masamichi Takesaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory Of Operator Algebras I written by Masamichi Takesaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Mathematics for infinite dimensional objects is becoming more and more important today both in theory and application. Rings of operators, renamed von Neumann algebras by J. Dixmier, were first introduced by J. von Neumann fifty years ago, 1929, in [254] with his grand aim of giving a sound founda tion to mathematical sciences of infinite nature. J. von Neumann and his collaborator F. J. Murray laid down the foundation for this new field of mathematics, operator algebras, in a series of papers, [240], [241], [242], [257] and [259], during the period of the 1930s and early in the 1940s. In the introduction to this series of investigations, they stated Their solution 1 {to the problems of understanding rings of operators) seems to be essential for the further advance of abstract operator theory in Hilbert space under several aspects. First, the formal calculus with operator-rings leads to them. Second, our attempts to generalize the theory of unitary group-representations essentially beyond their classical frame have always been blocked by the unsolved questions connected with these problems. Third, various aspects of the quantum mechanical formalism suggest strongly the elucidation of this subject. Fourth, the knowledge obtained in these investigations gives an approach to a class of abstract algebras without a finite basis, which seems to differ essentially from all types hitherto investigated. Since then there has appeared a large volume of literature, and a great deal of progress has been achieved by many mathematicians.
Tensor Categories
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Author : Pavel Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-05
Tensor Categories written by Pavel Etingof and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-05 with Algebraic topology categories.
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.
Regional Competitiveness
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Author : Ron Martin
language : en
Publisher: Routledge
Release Date : 2012-11-12
Regional Competitiveness written by Ron Martin and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Business & Economics categories.
There is now a wide spread interest in regions as a key focus in the organization and governance of economic growth and wealth creation. This important book considers the factors that influence and shape the competitive performance of regions. This is not just an issue of academic interest and debate, but also of increasing policy deliberation and action. However, as the readings in this book make clear, the very idea of regional competitiveness is itself complex and contentious. Many academics and policy makers have used the concept without fully considering what is meant by the term and how it can be measured. Policy formulation has tended to rush ahead of understanding and analysis, and the purpose of this book is to close this important gap in understanding. This book was previously published as a special issue of Regional Studies.
Quantum Logic In Algebraic Approach
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Author : Miklós Rédei
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Quantum Logic In Algebraic Approach written by Miklós Rédei and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.
Rings Of Operators
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Author : Irving Kaplansky
language : en
Publisher:
Release Date : 1968
Rings Of Operators written by Irving Kaplansky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Lattice theory categories.
Esg Investment
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Author : Naoko Nemoto
language : en
Publisher: Brookings Institution Press
Release Date : 2020-02-25
Esg Investment written by Naoko Nemoto and has been published by Brookings Institution Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-25 with Business & Economics categories.
Investors are increasingly integrating environmental, social, and governance (ESG) issues into their investment decisions. Currently, more than half of managed assets in Europe are linked to ESG factors, while in Japan, ESG investment has grown dramatically in recent years. In principle, ESG investment can help to bridge the gap between profit-driven investment and economic and social sustainability in Asia and the Pacific. However, a number of challenges, such as unclear and varied sustainable investment criteria, untested impacts on corporate value and social issues, and the lack of quality data cloud the potential for increasing ESG investment. This book aims to contribute to developing a framework for future analysis and monitoring to ensure the growth of ESG investment.
Government Reports Announcements Index
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Author :
language : en
Publisher:
Release Date : 1993-02
Government Reports Announcements Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02 with Science categories.