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

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 ...

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 ...

The notions of Poisson Lie group and Poisson homogeneous space are extended to the Dirac category. The theorem of Drinfeld on the one-to-one correspondence between Poisson homogeneous spaces of a ...