Lie Algebras by Nathan Jacobson Lie group theory, developed by M. Sophus Lie in the 19th century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses.Chapter I introduces basic concepts that are necessary for an...
Lie Groups, Lie Algebras, and Representations : An Elementary Introduction (Paperback) (Brian C. Hall)
Applications of Lie Algebras to Hyperbolic and Stochastic Differential Equations (Hardcover)
Carl Gustav Jacob Jacobi (Potsdam, 1804) made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory. He was also one of the early founders of the theory of determinants, invented the Jacobian determinant and the Jacobi identity which often appears in the study of vector fields and Lie algebras.
Lie Groups, Lie Algebras, and Some of Their Applications
Lie Groups, Lie Algebras, and Some of Their Applications by Robert Gilmore Lie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity,...