Hypergeometry Integrability And Lie Theory
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Hypergeometry Integrability and Lie Theory
Author | : Erik Koelink,Stefan Kolb,Nicolai Reshetikhin,Bart Vlaar |
Publsiher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 2022-08-30 |
Genre | : Education |
ISBN | : 9781470465209 |
Download Hypergeometry Integrability and Lie Theory Book in PDF, Epub and Kindle
This volume contains the proceedings of the virtual conference on Hypergeometry, Integrability and Lie Theory, held from December 7–11, 2020, which was dedicated to the 50th birthday of Jasper Stokman. The papers represent recent developments in the areas of representation theory, quantum integrable systems and special functions of hypergeometric type.
Hypergeometry Integrability and Lie Theory
Author | : Erik Koelink |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2022 |
Genre | : Electronic books |
ISBN | : 1470471345 |
Download Hypergeometry Integrability and Lie Theory Book in PDF, Epub and Kindle
This volume contains the proceedings of the virtual conference on Hypergeometry, Integrability and Lie Theory, held from December 7-11, 2020, which was dedicated to the 50th birthday of Jasper Stokman.The papers represent recent developments in the areas of representation theory, quantum integrable systems and special functions of hypergeometric type.
Computational Aspects of Discrete Subgroups of Lie Groups
Author | : Alla Detinko,Michael Kapovich,Alex Kontorovich,Peter Sarnak,Richard Schwartz |
Publsiher | : American Mathematical Society |
Total Pages | : 164 |
Release | : 2023-03-10 |
Genre | : Mathematics |
ISBN | : 9781470468040 |
Download Computational Aspects of Discrete Subgroups of Lie Groups Book in PDF, Epub and Kindle
This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, and hosted by the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties. It is centered on computing with discrete subgroups of Lie groups, which impacts many different areas of mathematics such as algebra, geometry, topology, and number theory. The workshop aimed to synergize independent strands in the area of computing with discrete subgroups of Lie groups, to facilitate solution of theoretical problems by means of recent advances in computational algebra.
Algebraic and Topological Aspects of Representation Theory
Author | : Mee Seong Im,Bach Nguyen,Arik Wilbert |
Publsiher | : American Mathematical Society |
Total Pages | : 240 |
Release | : 2024-01-22 |
Genre | : Mathematics |
ISBN | : 9781470470340 |
Download Algebraic and Topological Aspects of Representation Theory Book in PDF, Epub and Kindle
This volume contains the proceedings of the virtual AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, held from November 20–21, 2021. Noncommutative algebras and noncommutative algebraic geometry have been an active field of research for the past several decades, with many important applications in mathematical physics, representation theory, number theory, combinatorics, geometry, low-dimensional topology, and category theory. Papers in this volume contain original research, written by speakers and their collaborators. Many papers also discuss new concepts with detailed examples and current trends with novel and important results, all of which are invaluable contributions to the mathematics community.
Algebra and Coding Theory
Author | : A. Leroy,S. K. Jain |
Publsiher | : American Mathematical Society |
Total Pages | : 270 |
Release | : 2023-05-01 |
Genre | : Mathematics |
ISBN | : 9781470468590 |
Download Algebra and Coding Theory Book in PDF, Epub and Kindle
This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in honor of Tariq Rizvi, held from July 5–7, 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held on July 8, 2021, both of which were hosted by the Université d'Artois, Lens, France. The articles cover topics in commutative and noncommutative algebra and applications to coding theory. In some papers, applications of Frobenius rings, the skew group rings, and iterated Ore extensions to coding theory are discussed. Other papers discuss classical topics, such as Utumi rings, Baer rings, nil and nilpotent algebras, and Brauer groups. Still other articles are devoted to various aspects of the elementwise study for rings and modules. Lastly, this volume includes papers dealing with questions in homological algebra and lattice theory. The articles in this volume show the vivacity of the research of noncommutative rings and its influence on other subjects.
Advances in Functional Analysis and Operator Theory
Author | : Marat V. Markin,Igor V. Nikolaev,Carsten Trunk |
Publsiher | : American Mathematical Society |
Total Pages | : 250 |
Release | : 2024-04-09 |
Genre | : Mathematics |
ISBN | : 9781470473051 |
Download Advances in Functional Analysis and Operator Theory Book in PDF, Epub and Kindle
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18–22, 2022, at the Université de Grenoble-Alpes, Grenoble, France. The papers reflect the modern interplay between differential equations, functional analysis, operator algebras, and their applications from the dynamics to quantum groups to number theory. Among the topics discussed are the Sturm-Liouville and boundary value problems, axioms of quantum mechanics, $C^{*}$-algebras and symbolic dynamics, von Neumann algebras and low-dimensional topology, quantum permutation groups, the Jordan algebras, and the Kadison–Singer transforms.
Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups
Author | : A Varchenko |
Publsiher | : World Scientific |
Total Pages | : 384 |
Release | : 1995-03-29 |
Genre | : Mathematics |
ISBN | : 9789814501620 |
Download Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups Book in PDF, Epub and Kindle
This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik–Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals. Contents:IntroductionConstruction of Complexes Calculating Homology of the Complement of a ConfigurationConstruction of Homology Complexes for Discriminantal ConfigurationAlgebraic Interpretation of Chain Complexes of a Discriminantal ConfigurationQuasiisomorphism of Two-Sided Hochschild Complexes to Suitable One-Sided Hochschild ComplexesBundle Properties of a Discriminantal ConfigurationR-Matrix for the Two-Sided Hochschild ComplexesMonodromyR-Matrix Operator as the Canonical Element, Quantum DoublesHypergeometric IntegralsKac–Moody Lie Algebras Without Serre's Relations and Their DoublesHypergeometric Integrals of a Discriminantal ConfigurationResonances at InfinityDegenerations of Discriminantal ConfigurationsRemarks on Homology Groups of a Configuration with Coefficients in Local Systems More General than Complex One-Dimensional Readership: Mathematicians, theoretical physicists, and graduate students. keywords:Hypergeometric Function;Hypergeometric Type Function;Hypergeometric Integral;Kac-Moody Algebra;Quantum Group;Representations of a Kac-Moody Algebra;Representations of a Quantum Group;Discriminant Configuration;Monodromy “The book is elegantly structured and sticks closely to the point, and is also fairly down to earth … as well as serving as an excellent specialist monograph, it should also be useful as a first exposure to these topics for anyone who likes to learn a subject through the study of a concrete problem.” Bull. London Math. Soc.
Mathematical Modelling
Author | : Hemen Dutta |
Publsiher | : American Mathematical Society |
Total Pages | : 174 |
Release | : 2023-07-07 |
Genre | : Mathematics |
ISBN | : 9781470469658 |
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This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas. The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.