Current Algebras And Their Applications

Author : B. Renner
Publisher : Elsevier
Page : 192 pages
File Size : 48,8 Mb
Release : 2014-06-20
Category : Science
ISBN : 9781483184135

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Current Algebras and Their Applications by B. Renner Pdf

International Series of Monographs in Natural Philosophy, Volume 12: Current Algebras and their Applications provides an introduction to the underlying philosophy and to the technical methods associated with the use of the Current Algebra for the investigation of questions in elementary particle physics. This text contains 10 chapters and begins with the preliminary concepts and basic ideas of current algebras. The next chapters deal with the approximate symmetry and the dispersion theory of current algebras, as well as the current algebra sum rules with PCAC. These topics are followed by reviews of the principles of the low-energy theorems, the Schwinger terms, and the features of the dispersion theory. The last chapter examines the possible connections of current algebras and dynamics. This book will prove useful to mathematicians, physicists, teachers, and students.

Author : Oleg K. Sheinman
Publisher : Walter de Gruyter
Page : 164 pages
File Size : 50,8 Mb
Release : 2012-10-01
Category : Mathematics
ISBN : 9783110264524

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Current Algebras on Riemann Surfaces by Oleg K. Sheinman Pdf

This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and conformal field theory. For beginners, the book provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications. The book may serve as a base for semester lecture courses on finite-dimensional integrable systems, conformal field theory, almost graded Lie algebras. Majority of results are presented for the first time in the form of monograph.

Author : Bruno Renner
Publisher : Unknown
Page : 177 pages
File Size : 48,6 Mb
Release : 1963
Category : Electronic
ISBN : OCLC:1071630558

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Current algebras and their applications by Bruno Renner Pdf

Author : National Center for Health Statistics (U.S.)
Publisher : Unknown
Page : 76 pages
File Size : 44,7 Mb
Release : 1963
Category : Health surveys
ISBN : MINN:30000007286812

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Vital and Health Statistics by National Center for Health Statistics (U.S.) Pdf

Author : Yun Gao
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 55,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9780821845073

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Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications by Yun Gao Pdf

This volume contains the proceedings of the conference on Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff International Research Station, Banff, Canada, from March 2-7, 2008. Many of the papers include new results on different aspects of quantum affine algebras, extended affine Lie algebras, and their applications in other areas of mathematics and physics. Any reader interested in learning about the recent developments in quantum affine algebras and extended affine Lie algebras will benefit from this book.

Author : B. Renner
Publisher : Pergamon
Page : 177 pages
File Size : 53,6 Mb
Release : 1968
Category : Electronic
ISBN : 0080125042

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Current Algebras and Their Applications by B. Renner Pdf

Author : Yi-Zhi Huang,Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 500 pages
File Size : 55,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821839867

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Lie Algebras, Vertex Operator Algebras and Their Applications by Yi-Zhi Huang,Kailash C. Misra Pdf

The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Author : Jouko Mickelsson
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 42,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475702958

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Current Algebras and Groups by Jouko Mickelsson Pdf

Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode.

Author : Sam Treiman,Roman Jackiw
Publisher : Princeton University Press
Page : 550 pages
File Size : 43,9 Mb
Release : 2014-07-14
Category : Science
ISBN : 9781400854561

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Current Algebra and Anomalies by Sam Treiman,Roman Jackiw Pdf

Current algebra remains our most successful analysis of fundamental particle interactions. This collection of surveys on current algebra and anomalies is a successor volume to Lectures on Current Algebra and Its Applications (Princeton Series in Physics, 1972). Originally published in 1986. 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.

Author : Jacob Greenstein,David Hernandez,Kailash C. Misra,Prasad Senesi
Publisher : Springer Nature
Page : 453 pages
File Size : 50,7 Mb
Release : 2022-03-11
Category : Mathematics
ISBN : 9783030638498

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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification by Jacob Greenstein,David Hernandez,Kailash C. Misra,Prasad Senesi Pdf

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference “Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification”, held on the occasion of Chari’s 60th birthday at the Catholic University of America in Washington D.C., June 2018. The chapters that follow present a broad view of the area, featuring surveys, original research, and an overview of Vyjayanthi Chari’s significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including: String diagrams and categorification Quantum affine algebras and cluster algebras Steinberg groups for Jordan pairs Dynamical quantum determinants and Pfaffians Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification will be an ideal resource for researchers in the fields of representation theory and mathematical physics.

Author : Pierre Cartier,Frédéric Patras
Publisher : Springer Nature
Page : 277 pages
File Size : 53,7 Mb
Release : 2021-09-20
Category : Mathematics
ISBN : 9783030778453

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Classical Hopf Algebras and Their Applications by Pierre Cartier,Frédéric Patras Pdf

This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s. The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results. Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.

Author : Stephen L. Adler,Roger F. Dashen
Publisher : Unknown
Page : 424 pages
File Size : 49,5 Mb
Release : 1968
Category : Algebra of currents
ISBN : UCAL:B4539648

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Current Algebras and Applications to Particle Physics by Stephen L. Adler,Roger F. Dashen Pdf

Author : Anonim
Publisher : Unknown
Page : 828 pages
File Size : 49,5 Mb
Release : 1968
Category : Nuclear energy
ISBN : PSU:000047758742

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Nuclear Science Abstracts by Anonim Pdf

Author : R Costa,Jr., Henrique Guzzo,A. Grichkov,L.A. Peresi
Publisher : CRC Press
Page : 492 pages
File Size : 42,6 Mb
Release : 2019-05-20
Category : Mathematics
ISBN : 9780429529993

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NonasSociative Algebra and Its Applications by R Costa,Jr., Henrique Guzzo,A. Grichkov,L.A. Peresi Pdf

A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.

Author : Yi-Zhi Huang,Kailash C. Misra
Publisher : American Mathematical Soc.
Page : 512 pages
File Size : 51,8 Mb
Release : 2007-10-04
Category : Mathematics
ISBN : 0821857711

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Lie Algebras, Vertex Operator Algebras and Their Applications by Yi-Zhi Huang,Kailash C. Misra Pdf

The articles in this book are based on talks given at the international conference ``Lie algebras, vertex operator algebras and their applications'', in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, held in May of 2005 at North Carolina State University. Some of the papers in this volume give inspiring expositions on the development and status of their respective research areas. Others outline and explore the challenges as well as the future directions of research for the twenty-first century. The focus of the papers in this volume is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory. This book is useful for graduate students and researchers in mathematics and mathematical physics who want to be introduced to different areas of current research or explore the frontiers of research in the areas mentioned above.