CartanLieGroups

iPhone / Productivité

The CartanLieGroups occupies a central position within the realms of Lie groups, embodying the intricate interplay between the infinitesimal structure of a Lie group and its corresponding Lie algebra. It encodes the behavior of the Lie groups form, a differential form intrinsically tied to the group manifold, delineating how this form varies in response to the underlying group symmetries. By governing the relationship between the exterior differential and the Lie bracket, the CartanLieGroups weaves together local and global geometrical properties, revealing profound insights into curvature, holonomy, and the algebraic architecture of continuous transformation groups. This equation, with its deep structural resonance, finds extensive application in advanced fields such as gauge theory and the study of manifold connections.

Key Features:
• Calculate Cartan LieGroups Form Exterior Derivative
• Calculate Lie Group Identity Element Calculation Value
• Calculate Connection Forms Value for Lie Groups
• Calculate Infinitesimal Lie Group Symmetry Test Value
• Calculate Cartan Lie Group Form Holonomy Value
• Calculate Lie Group One-Form Structure Value

Quoi de neuf dans la dernière version ?

Fix bug.