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Author: Javier De Lucas Araujo
Publisher: World Scientific
ISBN: 1786346990
Category : Mathematics
Languages : en
Pages : 425
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Book Description
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
Author: Javier De Lucas Araujo
Publisher: World Scientific
ISBN: 1786346990
Category : Mathematics
Languages : en
Pages : 425
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Book Description
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
Author: Cristina Sardón Muñoz
Publisher:
ISBN: 9781786346988
Category : Differential equations
Languages : en
Pages : 425
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Book Description
Author: Joachim Hilgert
Publisher: Springer Science & Business Media
ISBN: 0387847944
Category : Mathematics
Languages : en
Pages : 742
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Book Description
This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.
Author: Robert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692453
Category : Mathematics
Languages : en
Pages : 286
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Book Description
Author:
Publisher:
ISBN: 9780387571409
Category :
Languages : en
Pages : 0
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Book Description
Author: Ercüment H. Ortaçgil
Publisher:
ISBN: 9780191860959
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
The theory of Lie groups is one of the most important mathematical themes of the last century and belongs to the centre of modern differential geometry. Whilst the subject is well established, this book aims to be the first to approach geometric theory of Lie groups from a new perspective.
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 312
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Book Description
Author: Geoffrey Mason
Publisher: Springer
ISBN: 3319099345
Category : Mathematics
Languages : en
Pages : 274
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Book Description
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.
Author: Robert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692439
Category : Mathematics
Languages : en
Pages : 288
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Book Description
Author: Dong Hoon Lee
Publisher: CRC Press
ISBN: 1420035452
Category : Mathematics
Languages : en
Pages : 229
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Book Description
Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts
