Definition: In mathematics, the notation SKLZ (for Skew-Symmetric-Lattice-Zero) stands for a type of lattice in a Lie group. A skew-symmetric lattice is a subset of an ordered space that has some additional property, which is related to its lattice points. The term "skylight" is often used as a nickname for the object that is sketched on a plane with one of the axes horizontal or vertical, but whose other axis points to infinity in the opposite direction. In the context of Lie groups and their associated Lie algebras, the skew-symmetric lattice zero is an important invariant under Lie group actions. It can be defined as the unique maximal skew-symmetric sublattice of a given Lie algebra that contains all its zeroth powers. The SkLZ property is often used in studying the structure of Lie groups and their representations. The definition of "skylight" is not entirely clear from the context, but it seems to be related to the lattice points in the plane. Could you please provide more information or clarify what you are asking?
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