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 ...

Affine Lie algebras, which extend finite-dimensional Lie algebras to infinite dimensions, have emerged as a powerful algebraic framework in this context.

New York Assemblyman Matt Slater shared a yearbook photo of Rep. Alexandria Ocasio-Cortez, calling her 'Bronx girl' identity into question.

The controlled terms are assumed to take place between pairwise states. Such bilinear systems naturally induce two interaction graphs: one graph from the drift, and another from the controlled ...

In our method, the geometric and photometric transformations are jointly parameterized by their corresponding Lie algebras. Based on this parameterization approach, the second-order approximation ...

Consider a Hom–Lie superalgebra, denoted by T 𝒯. In this paper, we inquire the Lie triple derivation hT Der(T) h T D e r (𝒯) and generalized Lie triple derivation hGT Der(T) h G T D e r (𝒯) of ...