Quanta Magazine

What Are Lie Groups?

By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...
Nature

Group Gradings and Lie Algebras

Group gradings provide a powerful framework for decomposing algebraic structures into subspaces that are systematically indexed by a group. In the context of Lie algebras, which play a central role in ...
JSTOR Daily

An Introduction to Lie Groups and Lie Algebras, with Applications. III: Computational Methods and Applications of Representation Theory

SIAM Review contains articles that are written for a wide scientific audience. Articles include expository or survey papers focusing on important advances in applied or computational mathematics, or ...
JSTOR Daily

REALIZATIONS OF INNER AUTOMORPHISMS OF ORDER 4 AND FIXED POINTS SUBGROUPS BY THEM ON THE CONNECTED COMPACT EXCEPTIONAL LIE GROUP E₈, PART I

The compact simply connected Riemannian 4-symmetric spaces were classified by J. A. Jiménez as the type of Lie algebra. Needless to say, these spaces as homogeneous manifolds are of the form G/H, ...