e-books in Lie Groups category
![Book cover: An Introduction to the Lie Theory of One-Parameter Groups](images/11363.jpg)
by Abraham Cohen - D.C. Heath & co , 1911
The object of this book is to present in an elementary manner, in English, an introduction to Lie s theory of one-parameter groups, with special reference to its application to the solution of differential equations invariant under such groups.
(5705 views)
![Book cover: An Introduction to Lie Group Integrators](images/11219.jpg)
by E. Celledoni, H. Marthinsen, B. Owren - arXiv , 2012
The authors give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented ...
(5885 views)
![Book cover: Continuous Groups Of Transformations](images/10403.jpg)
by Luther Pfahler Eisenhart - Princeton University Press , 1933
'Continuous Groups Of Transformations' sets forth the general theory of Lie and his contemporaries and the results of recent investigations with the aid of the methods of the tensor calculus and concepts of the new differential geometry.
(6827 views)
![Book cover: Roots of a Compact Lie Group](images/9210.jpg)
by Kristopher Tapp - arXiv , 2009
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions.
(7800 views)
![Book cover: Introductory Treatise On Lie's Theory Of Finite Continuous Transformation Groups](images/9163.jpg)
by John Edward Campbell - Oxford Clarendon Press , 1903
In this treatise an attempt is made to give, in as elementary a form as possible, the main outlines of Lie's theory of Continuous Groups. Even those familiar with the theory may find something new in the form in which the theory is here presented.
(7343 views)
![Book cover: Lectures on Discrete Subgroups of Lie Groups](images/7324.jpg)
by G.D. Mostow - Tata Institute of Fundamental Research , 1969
Contents: Preliminaries; Complexification of a real Linear Lie Group; Intrinsic characterization of K* and E; R-regular elements; Discrete Subgroups; Some Ergodic Properties of Discrete Subgroups; Real Forms of Semi-simple Algebraic Groups; etc.
(9313 views)
![Book cover: Lectures on Lie Groups and Representations of Locally Compact Groups](images/6284.jpg)
by F. Bruhat - Tata Institute of Fundamental Research , 1958
We consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. We have rigidly adhered to the analytic approach in establishing the relations between Lie groups and Lie algebras.
(11266 views)
![Book cover: Lecture Notes in Lie Groups](images/5952.jpg)
by Vladimir G. Ivancevic, Tijana T. Ivancevic - arXiv , 2011
These notes are designed for a 1-semester third year or graduate course in mathematics, physics, or biology. We give both physical and medical examples of Lie groups. The only necessary background are advanced calculus and linear algebra.
(10561 views)
![Book cover: Lie Groups, Physics, and Geometry](images/5811.jpg)
by Robert Gilmore - Drexel University , 2007
The book emphasizes the most useful aspects of Lie groups, in a way that is easy for students to acquire and to assimilate. It includes a chapter dedicated to the applications of Lie group theory to solving differential equations.
(12585 views)
![Book cover: Lie groups and Lie algebras](images/4839.jpg)
by N. Reshetikhin, V. Serganova, R. Borcherds - UC Berkeley , 2006
From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.
(12421 views)
![Book cover: Introduction to Lie Groups and Lie Algebras](images/4721.jpg)
by Alexander Kirillov, Jr. - SUNY at Stony Brook , 2010
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.
(14711 views)
![Book cover: Algebraic Groups, Lie Groups, and their Arithmetic Subgroups](images/4664.jpg)
by J. S. Milne , 2010
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
(12872 views)
![Book cover: Notes on Differential Geometry and Lie Groups](images/4429.jpg)
by Jean Gallier - University of Pennsylvania , 2010
Contents: Introduction to Manifolds and Lie Groups; Review of Groups and Group Actions; Manifolds; Construction of Manifolds From Gluing Data; Lie Groups, Lie Algebra, Exponential Map; The Derivative of exp and Dynkin's Formula; etc.
(12711 views)
![Book cover: Introduction to Lie Groups, Adjoint Action and Some Generalizations](images/4141.jpg)
by Marcos M. Alexandrino, Renato G. Bettiol - arXiv , 2010
These lecture notes provide a concise introduction to Lie groups, Lie algebras, and isometric and adjoint actions, aiming at advanced undergraduate and graduate students. A special focus is given to maximal tori and roots of compact Lie groups.
(11122 views)
![Book cover: An Elementary Introduction to Groups and Representations](images/3387.jpg)
by Brian C. Hall - arXiv , 2000
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
(19451 views)
![Book cover: Lie Groups in Physics](images/3253.jpg)
by G. 't Hooft, M. J. G. Veltman - Utrecht University , 2007
Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.
(15522 views)
![Book cover: Notes on Classical Groups](images/2406.jpg)
by Peter J. Cameron - Queen Mary and Westfield College , 2000
Notes for an M.Sc. course: Fields and vector spaces; Linear and projective groups; Polarities and forms; Symplectic groups; Unitary groups; Orthogonal groups; Klein correspondence and triality; A short bibliography on classical groups.
(12621 views)
![Book cover: Group Theory: Birdtracks, Lie's, and Exceptional Groups](images/107.jpg)
by Predrag Cvitanovic - Princeton University Press , 2011
A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.
(16144 views)