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Cyclic Cohomology Within The Differential Envelope
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Book Synopsis Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups by : Ludwig Pittner
Download or read book Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups written by Ludwig Pittner and published by Springer Science & Business Media. This book was released on 2009-01-29 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics and considered to be useful tools for model building in statistical and quantum physics. This book, addressing scientists and postgraduates, contains a detailed and rather complete presentation of the algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super-bialgebras, or formal power series. Great care was taken to present a reliable collection of formulae and to unify the notation, making this volume a useful work of reference for mathematicians and mathematical physicists.
Book Synopsis Cyclic Cohomology Within the Differential Envelope by : Daniel Kastler
Download or read book Cyclic Cohomology Within the Differential Envelope written by Daniel Kastler and published by . This book was released on 1988 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cyclic Homology by : Jean-Louis Loday
Download or read book Cyclic Homology written by Jean-Louis Loday and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry. Though conceived as a basic reference on the subject, many parts of this book are accessible to graduate students.
Book Synopsis Cyclic Cohomology and Noncommutative Geometry by : Joachim J. R. Cuntz
Download or read book Cyclic Cohomology and Noncommutative Geometry written by Joachim J. R. Cuntz and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative geometry is a new field that is among the great challenges of present-day mathematics. Its methods allow one to treat noncommutative algebras - such as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theory - on the same footing as commutative algebras, that is, as spaces. Applications range over many fields of mathematics and mathematical physics. This volume contains the proceedings of the workshop on "Cyclic Cohomology and Noncommutative Geometry" held at The Fields Institute (Waterloo, ON) in June 1995. The workshop was part of the program for the special year on operator algebras and its applications.
Book Synopsis Cyclic Homology of Algebras by : Peter Seibt
Download or read book Cyclic Homology of Algebras written by Peter Seibt and published by World Scientific. This book was released on 1987 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is purely algebraic and concentrates on cyclic homology rather than on cohomology. It attempts to single out the basic algebraic facts and techniques of the theory.The book is organized in two chapters. The first chapter deals with the intimate relation of cyclic theory to ordinary Hochschild theory. The second chapter deals with cyclic homology as a typical characteristic zero theory.
Book Synopsis Asymptotic Cyclic Cohomology by : Michael Puschnigg
Download or read book Asymptotic Cyclic Cohomology written by Michael Puschnigg and published by Springer. This book was released on 2006-11-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras is developed in the book, based on Connes' work on noncommutative geometry. Asymptotic cyclic cohomology faithfully reflects the basic properties and features of operator K-theory. It thus becomes a natural target for a Chern character. The central result of the book is a general Grothendieck-Riemann-Roch theorem in noncommutative geometry with values in asymptotic cyclic homology. Besides this, the book contains numerous examples and calculations of asymptotic cyclic cohomology groups.
Book Synopsis Stochastics, Algebra and Analysis in Classical and Quantum Dynamics by : Sergio Albeverio
Download or read book Stochastics, Algebra and Analysis in Classical and Quantum Dynamics written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, "'f si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile':' human race. It has put common sense back Jules Verne where it belongs, 011 the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . . . '; 'One service logic has rendered com puter science . . . '; 'One service category theory has rendered mathematics . . . '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series_ This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote ''Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches.
Book Synopsis Recent Advances in Field Theory by : P. Binétruy
Download or read book Recent Advances in Field Theory written by P. Binétruy and published by Elsevier. This book was released on 2016-06-03 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in Field Theory presents the proceedings of the Fourth Annecy Meeting on Theoretical Physics, held in Annecy-le-Vieux, France, on March 5–9, 1990. This book presents several relevant developments on the subject, including quantum algebra, two-dimensional quantum gravity, and topological quantum theories. Organized into 29 chapters, this book begins with an overview of the Hamiltonian quantization of the topological Chern–Simons theory. This text then examines the conformal affine Liouville model. Other chapters consider the global analyticity properties of functions correlated with causal kernels on de Sitter space. This book discusses as well the three particle models in terms of noncommutative gauge theory, namely, the Peccei-Quinn model, the Glashow–Weinberg–Salam model, and the standard model. The final chapter deals with the development on the construction of lattice integrable models corresponding to the SU (N) coset conformal field theories. This book is a valuable resource for physicists and scientists.
Book Synopsis Differential Geometrical Methods in Theoretical Physics by : K. Bleuler
Download or read book Differential Geometrical Methods in Theoretical Physics written by K. Bleuler and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop and the 16th International Conference, Como, Italy, August 24-29, 1987
Book Synopsis An Introduction to Noncommutative Differential Geometry and Its Physical Applications by : J. Madore
Download or read book An Introduction to Noncommutative Differential Geometry and Its Physical Applications written by J. Madore and published by Cambridge University Press. This book was released on 1999-06-24 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly revised introduction to non-commutative geometry.
Book Synopsis Fields And Geometry 1986 - Proceedings Of The 22nd Winter School And Workshop Of Theoretical Physics by : Arkadiusz Jadczyk
Download or read book Fields And Geometry 1986 - Proceedings Of The 22nd Winter School And Workshop Of Theoretical Physics written by Arkadiusz Jadczyk and published by World Scientific. This book was released on 1987-01-01 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: The continuation of global poverty is inextricably entwined with the fundamental philosophy of the market economy. It is driven by the individual's neverending desire for “profit”, leading to a critically imbalanced distribution of resources. As an entrepreneurial initiative, this book advocates a shift in the responsibility for relief of poverty away from the government to the private sector, and in particular to corporate entities. The concept of the “residual” is used as the cornerstone of business operations and wealth distribution. Corporate decision-makers, while making proprietary decisions for resources allocation, must assume stewardship responsibility and be accountable not just to financial investors but to all contributors of the corporate entity.
Book Synopsis Lie Groups and Lie Algebras: E. B. Dynkin's Seminar by : Semen Grigorʹevich Gindikin
Download or read book Lie Groups and Lie Algebras: E. B. Dynkin's Seminar written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on 1995 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: In celebration of E.B. Dynkin's 70th birthday, this book presents current papers by those who participated in Dynkin's seminar on Lie groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who attended his seminar-many of whom are today's leading mathematicians in Russia and in the U.S. Dynkin's contributions to the theory of Lie groups is well known, and the survey paper by Karpelevich, Onishchik, and Vinberg allows readers to gain a deeper understanding of this work. Features several aspects of modern develo.
Book Synopsis Noncommutative Geometry by : Alain Connes
Download or read book Noncommutative Geometry written by Alain Connes and published by Academic Press. This book was released on 1995-01-17 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. - First full treatment of the subject and its applications - Written by the pioneer of this field - Broad applications in mathematics - Of interest across most fields - Ideal as an introduction and survey - Examples treated include: - the space of Penrose tilings - the space of leaves of a foliation - the space of irreducible unitary representations of a discrete group - the phase space in quantum mechanics - the Brillouin zone in the quantum Hall effect - A model of space time
Book Synopsis Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) by : Gerhard Grensing
Download or read book Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) written by Gerhard Grensing and published by World Scientific. This book was released on 2021-07-15 with total page 1656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
Book Synopsis Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) by : Sultan Catto
Download or read book Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) written by Sultan Catto and published by World Scientific. This book was released on 1992-01-27 with total page 1228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.
Book Synopsis Geometric and Algebraic Topology by : Henryk Toruńczyk
Download or read book Geometric and Algebraic Topology written by Henryk Toruńczyk and published by . This book was released on 1986 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Non-Commutative Geometry by : Y. Manin
Download or read book Topics in Non-Commutative Geometry written by Y. Manin and published by Princeton University Press. This book was released on 2014-07-14 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on "noncommutative spaces." Manin begins by summarizing and giving examples of some of the ideas that led to the new concepts of noncommutative geometry, such as Connes' noncommutative de Rham complex, supergeometry, and quantum groups. He then discusses supersymmetric algebraic curves that arose in connection with superstring theory; examines superhomogeneous spaces, their Schubert cells, and superanalogues of Weyl groups; and provides an introduction to quantum groups. This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
