Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics PDF full book. Access full book title Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics by Josi A. de Azcárraga. Download full books in PDF and EPUB format.
Author: Josi A. de Azcárraga
Publisher: Cambridge University Press
ISBN: 9780521597005
Category : Mathematics
Languages : en
Pages : 480
Get Book Here
Book Description
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Author: Josi A. de Azcárraga
Publisher: Cambridge University Press
ISBN: 9780521597005
Category : Mathematics
Languages : en
Pages : 480
Get Book Here
Book Description
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Author: José Adolfo de Azcárraga
Publisher:
ISBN:
Category :
Languages : en
Pages : 455
Get Book Here
Book Description
Author: Jürgen Fuchs
Publisher: Cambridge University Press
ISBN: 9780521484121
Category : Mathematics
Languages : en
Pages : 452
Get Book Here
Book Description
This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.
Author: Jürgen Fuchs
Publisher: Cambridge University Press
ISBN: 9780521541190
Category : Mathematics
Languages : en
Pages : 464
Get Book Here
Book Description
This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.
Author: Alexander A. Kirillov
Publisher: Cambridge University Press
ISBN: 0521889693
Category : Mathematics
Languages : en
Pages : 237
Get Book Here
Book Description
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author: Neelacanta Sthanumoorthy
Publisher: Academic Press
ISBN: 012804683X
Category : Mathematics
Languages : en
Pages : 514
Get Book Here
Book Description
Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. - Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory - Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities - Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras - Focuses on Kac-Moody algebras
Author: Marián Fecko
Publisher: Cambridge University Press
ISBN: 1139458035
Category : Science
Languages : en
Pages : 11
Get Book Here
Book Description
Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.
Author: Daniel Bump
Publisher: Springer Science & Business Media
ISBN: 1461480248
Category : Mathematics
Languages : en
Pages : 532
Get Book Here
Book Description
This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range of material to give the student the bigger picture. The book is organized to allow different paths through the material depending on one's interests. This second edition has substantial new material, including improved discussions of underlying principles, streamlining of some proofs, and many results and topics that were not in the first edition. For compact Lie groups, the book covers the Peter–Weyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl group, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flag varieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics that are treated are symmetric function theory, the representation theory of the symmetric group, Frobenius–Schur duality and GL(n) × GL(m) duality with many applications including some in random matrix theory, branching rules, Toeplitz determinants, combinatorics of tableaux, Gelfand pairs, Hecke algebras, the "philosophy of cusp forms" and the cohomology of Grassmannians. An appendix introduces the reader to the use of Sage mathematical software for Lie group computations.
Author: Willi-hans Steeb
Publisher: World Scientific Publishing Company
ISBN: 9813104112
Category : Mathematics
Languages : en
Pages : 353
Get Book Here
Book Description
The book presents examples of important techniques and theorems for Groups, Lie groups and Lie algebras. This allows the reader to gain understandings and insights through practice. Applications of these topics in physics and engineering are also provided. The book is self-contained. Each chapter gives an introduction to the topic.
Author: Fanzhang Li
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110499509
Category : Computers
Languages : en
Pages : 534
Get Book Here
Book Description
This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning. Li Fanzhang is professor at the Soochow University, China. He is director of network security engineering laboratory in Jiangsu Province and is also the director of the Soochow Institute of industrial large data. He published more than 200 papers, 7 academic monographs, and 4 textbooks. Zhang Li is professor at the School of Computer Science and Technology of the Soochow University. She published more than 100 papers in journals and conferences, and holds 23 patents. Zhang Zhao is currently an associate professor at the School of Computer Science and Technology of the Soochow University. He has authored and co-authored more than 60 technical papers.
