Logo

Lecture Notes in Lie Groups

Small book cover: Lecture Notes in Lie Groups

Lecture Notes in Lie Groups
by

Publisher: arXiv
Number of pages: 74

Description:
These lecture notes in Lie Groups are designed for a 1-semester third year or graduate course in mathematics, physics, engineering, chemistry or biology. We give both physical and medical examples of Lie groups. The only necessary background for comprehensive reading of these notes are advanced calculus and linear algebra.

Home page url

Download or read it online for free here:
Download link
(740KB, PDF)

Similar books

Book cover: Notes on Differential Geometry and Lie GroupsNotes on Differential Geometry and Lie Groups
by - University of Pennsylvania
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.
(7367 views)
Book cover: Roots of a Compact Lie GroupRoots of a Compact Lie Group
by - arXiv
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.
(3999 views)
Book cover: Algebraic Groups, Lie Groups, and their Arithmetic SubgroupsAlgebraic Groups, Lie Groups, and their Arithmetic Subgroups
by
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.
(8115 views)
Book cover: Lie Groups in PhysicsLie Groups in Physics
by - Utrecht University
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.
(10306 views)