Lie Groups, Lie Algebras, and Some of Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups, Lie Algebras, and Some of Their Applications write by Robert Gilmore. This book was released on 2012-05-23. Lie Groups, Lie Algebras, and Some of Their Applications available in PDF, EPUB and Kindle. This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
Lie Groups, Lie Algebras, and Some of Their Applications
Lie Groups, Lie Algebras, and Some of Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups, Lie Algebras, and Some of Their Applications write by Robert Gilmore. This book was released on 2006-01-04. Lie Groups, Lie Algebras, and Some of Their Applications available in PDF, EPUB and Kindle. An opening discussion of introductory concepts leads to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and contractions and expansions.
Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics
Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics write by Josi A. de Azcárraga. This book was released on 1998-08-06. Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics available in PDF, EPUB and Kindle. A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics write by D.H. Sattinger. This book was released on 2013-11-11. Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics available in PDF, EPUB and Kindle. This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.
Applications of Lie Groups to Differential Equations
Applications of Lie Groups to Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applications of Lie Groups to Differential Equations write by Peter J. Olver. This book was released on 2012-12-06. Applications of Lie Groups to Differential Equations available in PDF, EPUB and Kindle. This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.
