An Introduction to Lie Groups and the Geometry of Homogeneous Spaces [+ errata]. Home · An Introduction to Lie Groups and the Geometry of Homogeneous . Errata for. An Introduction to Lie Groups and the Geometry of. Homogeneous Spaces. Andreas Arvanitoyeorgos. AMS Student Mathematical Library, vol.
Introduction to Lie groups and transformation groups. Lie groups: Beyond an introduction.
An introduction to Lie groups and Lie algebras. Lie groups.
An introduction through linear groups. Introduction to Lie groups and symplectic geometry lectures. Structure and Geometry of Lie Groups. Lie groups, Lie algebras, and representations: an elementary introduction. Analysis on Lie Groups: An introduction.
Recommend Documents. Your name. Close Send. Remember me Forgot password? Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter.
The main focus is on matrix groups, i. The first part studies examples and describes the classical families of simply connected compact groups.
A good understanding of them provides lasting intuition, especially in differential geometry. Advanced undergraduates, graduate students, and research mathematicians interested in differential geometry, topology, harmonic analysis, and mathematical physics. Recommend Documents. See our librarian page for additional eBook ordering options. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter. Lie groups.
The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions. Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry.
This provides the reader not only with a wealth of examples, but it also makes the key concepts much more concrete. This combination makes the material in this book more easily accessible for the readers with a limited background…The book is very easy to read and suitable for an elementary course in Lie theory aimed at advanced undergraduates or beginning graduate students…To summarize, this is a well-written book, which is highly suited as an introductory text for beginning graduate students without much background in differential geometry or for advanced undergraduates.
It is a welcome addition to the literature in Lie theory.