| A Study of Lie Algebra Including Exponential Maps, Adjoint Representations, Killing Form, and Lie Point Symmetry Contributor(s): Sing, Patrick (Author) |
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ISBN: 1286826640 ISBN-13: 9781286826645 Publisher: Webster's Digital Services OUR PRICE: $21.38 Product Type: Paperback Published: June 2012 * Not available - Not in print at this time * |
| Additional Information |
| BISAC Categories: - Science |
| Physical Information: 0.41" H x 7.44" W x 9.69" (0.78 lbs) 192 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term "Lie algebra," after Sophus Lie, was introduced by Hermann Weyl in the 1930s. Every finite-dimensional, real, or complex Lie algebra has a faithful representation by matrices. Lie's fundamental theorems describe a relation between Lie groups and Lie algebras. In particular, any Lie group gives rise to a canonically determined Lie algebra and conversely, for any Lie algebra there is a corresponding connected Lie group. This book studies Lie algebra including exponential function, group action, symmetric bilinear form, and discrete symmetry. Project Webster represents a new publishing paradigm, allowing disparate content sources to be curated into cohesive, relevant, and informative books. To date, this content has been curated from Wikipedia articles and images under Creative Commons licensing, although as Project Webster continues to increase in scope and dimension, more licensed and public domain content is being added. We believe books such as this represent a new and exciting lexicon in the sharing of human knowledge. |