Planar Algebras in Braided Tensor Categories

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Publisher : American Mathematical Society
ISBN 13 : 1470455404
Total Pages : 100 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Planar Algebras in Braided Tensor Categories by : André Gil Henriques

Download or read book Planar Algebras in Braided Tensor Categories written by André Gil Henriques and published by American Mathematical Society. This book was released on 2023-02-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Planar Algebras in Braided Tensor Categories

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ISBN 13 : 9781470473488
Total Pages : 0 pages
Book Rating : 4.4/5 (734 download)

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Book Synopsis Planar Algebras in Braided Tensor Categories by : André Gil Henriques

Download or read book Planar Algebras in Braided Tensor Categories written by André Gil Henriques and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We generalize Jones' planar algebras by internalising the notion to a pivotal braided tensor category C. To formulate the notion, the planar tangles are now equipped with additional 'anchor lines' which connect the inner circles to the outer circle. We call the resulting notion an anchored planar algebra. If we restrict to the case when C is the category of vector spaces, then we recover the usual notion of a planar algebra."-- Page v.

Tensor Categories

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Publisher : American Mathematical Soc.
ISBN 13 : 1470434415
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tensor Categories by : Pavel Etingof

Download or read book Tensor Categories written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2016-08-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Foundations of Quantum Field Theory and Perturbative String Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821851950
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Foundations of Quantum Field Theory and Perturbative String Theory by : Hisham Sati

Download or read book Mathematical Foundations of Quantum Field Theory and Perturbative String Theory written by Hisham Sati and published by American Mathematical Soc.. This book was released on 2011-12-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quantum field theory (QFT) has proven to be a rich source of ideas for mathematics for a long time. However, fundamental questions such as ``What is a QFT?'' did not have satisfactory mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few years. The papers are organized under three main chapters: Foundations for Quantum Field Theory, Quantization of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the papers in the volume.

Congruence Lattices of Ideals in Categories and (Partial) Semigroups

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Publisher : American Mathematical Society
ISBN 13 : 1470462699
Total Pages : 144 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Congruence Lattices of Ideals in Categories and (Partial) Semigroups by : James East

Download or read book Congruence Lattices of Ideals in Categories and (Partial) Semigroups written by James East and published by American Mathematical Society. This book was released on 2023-04-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Hopf Algebras, Tensor Categories and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 1470456249
Total Pages : 359 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hopf Algebras, Tensor Categories and Related Topics by : Nicolás Andruskiewitsch

Download or read book Hopf Algebras, Tensor Categories and Related Topics written by Nicolás Andruskiewitsch and published by American Mathematical Soc.. This book was released on 2021-07-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras. Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.

Topological Phases of Matter and Quantum Computation

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Publisher : American Mathematical Soc.
ISBN 13 : 1470440741
Total Pages : 242 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topological Phases of Matter and Quantum Computation by : Paul Bruillard

Download or read book Topological Phases of Matter and Quantum Computation written by Paul Bruillard and published by American Mathematical Soc.. This book was released on 2020-03-31 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation, held from September 24–25, 2016, at Bowdoin College, Brunswick, Maine. Topological quantum computing has exploded in popularity in recent years. Sitting at the triple point between mathematics, physics, and computer science, it has the potential to revolutionize sub-disciplines in these fields. The academic importance of this field has been recognized in physics through the 2016 Nobel Prize. In mathematics, some of the 1990 Fields Medals were awarded for developments in topics that nowadays are fundamental tools for the study of topological quantum computation. Moreover, the practical importance of this discipline has been underscored by recent industry investments. The relative youth of this field combined with a high degree of interest in it makes now an excellent time to get involved. Furthermore, the cross-disciplinary nature of topological quantum computing provides an unprecedented number of opportunities for cross-pollination of mathematics, physics, and computer science. This can be seen in the variety of works contained in this volume. With articles coming from mathematics, physics, and computer science, this volume aims to provide a taste of different sub-disciplines for novices and a wealth of new perspectives for veteran researchers. Regardless of your point of entry into topological quantum computing or your experience level, this volume has something for you.

The Classification of Subfactors with Index at Most $5 frac {1}{4}$

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Publisher : American Mathematical Society
ISBN 13 : 1470447126
Total Pages : 94 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Classification of Subfactors with Index at Most $5 frac {1}{4}$ by : Narjess Afzaly

Download or read book The Classification of Subfactors with Index at Most $5 frac {1}{4}$ written by Narjess Afzaly and published by American Mathematical Society. This book was released on 2023-04-07 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Unitarizability in Corank Three for Classical $p$-adic Groups

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Publisher : American Mathematical Society
ISBN 13 : 1470462834
Total Pages : 134 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Unitarizability in Corank Three for Classical $p$-adic Groups by : Marko Tadi?

Download or read book Unitarizability in Corank Three for Classical $p$-adic Groups written by Marko Tadi? and published by American Mathematical Society. This book was released on 2023-06-22 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

The Representation Theory of the Increasing Monoid

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Publisher : American Mathematical Society
ISBN 13 : 1470465469
Total Pages : 148 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Representation Theory of the Increasing Monoid by : Sema Güntürkün

Download or read book The Representation Theory of the Increasing Monoid written by Sema Güntürkün and published by American Mathematical Society. This book was released on 2023-06-22 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Spiral Waves: Linear and Nonlinear Theory

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Publisher : American Mathematical Society
ISBN 13 : 1470463091
Total Pages : 116 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Spiral Waves: Linear and Nonlinear Theory by : Björn Sandstede

Download or read book Spiral Waves: Linear and Nonlinear Theory written by Björn Sandstede and published by American Mathematical Society. This book was released on 2023-05-23 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Deformation and Unobstructedness of Determinantal Schemes

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Publisher : American Mathematical Society
ISBN 13 : 1470463113
Total Pages : 126 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Deformation and Unobstructedness of Determinantal Schemes by : Jan O. Kleppe

Download or read book Deformation and Unobstructedness of Determinantal Schemes written by Jan O. Kleppe and published by American Mathematical Society. This book was released on 2023-06-22 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture

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Publisher : American Mathematical Society
ISBN 13 : 1470464160
Total Pages : 154 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture by : Rafael von Känel

Download or read book Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture written by Rafael von Känel and published by American Mathematical Society. This book was released on 2023-06-22 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential

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Publisher : American Mathematical Society
ISBN 13 : 1470463121
Total Pages : 128 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential by : Yi Huang

Download or read book McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential written by Yi Huang and published by American Mathematical Society. This book was released on 2023-06-22 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Representation Theory of Geigle-Lenzing Complete Intersections

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Publisher : American Mathematical Society
ISBN 13 : 1470456311
Total Pages : 156 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representation Theory of Geigle-Lenzing Complete Intersections by : Martin Herschend

Download or read book Representation Theory of Geigle-Lenzing Complete Intersections written by Martin Herschend and published by American Mathematical Society. This book was released on 2023-05-23 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?

Twistors, Quartics,and del Pezzo Fibrations

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Publisher : American Mathematical Society
ISBN 13 : 1470464128
Total Pages : 148 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Twistors, Quartics,and del Pezzo Fibrations by : Nobuhiro Honda

Download or read book Twistors, Quartics,and del Pezzo Fibrations written by Nobuhiro Honda and published by American Mathematical Society. This book was released on 2023-05-23 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations

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Publisher : American Mathematical Society
ISBN 13 : 147045632X
Total Pages : 106 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations by : Philipp Grohs

Download or read book A Proof that Artificial Neural Networks Overcome the Curse of Dimensionality in the Numerical Approximation of Black–Scholes Partial Differential Equations written by Philipp Grohs and published by American Mathematical Society. This book was released on 2023-04-07 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.