AlgebraLie is a professional iOS application designed for mathematicians and students studying Lie algebra and Lie groups. It provides computational and visualization tools for advanced mathematics. This application includes eight core modules: Li bracket calculation, used to calculate the commutator between algebraic elements; Support root visualization for types A, B, C, D, E, F, and G; A parameterization tool used to represent group elements using Euler angles, quaternions, axis angles, and matrix parameters; Using Taylor series expansion for exponential mapping calculation; Character calculation in representation theory; Accompanying representation analysis; A comprehensive matrix calculator with addition, subtraction, multiplication, transposition, and tracking operations; And the application of functional group structure analysis for SO (2), SO (3), SU (2), SU (3), GL (n), and SL (n).
