The fractal symmetry in multiplicative structures of su ( 2 n ) with applications to dynamical Lie algebra computation

This work pursues two intertwined objectives. First, it elucidates a nested, cyclic pattern inherent in the multiplication of basis elements within su ( 2 n ) , revealing a delicate, fractal-like symmetry at the heart of the algebra. Second, building upon this structural insight, it introduces a recursive algorithm that efficiently determines the dynamical Lie algebra generated by any collection of elements in su ( 2 n ) .