Lie algebra structure on Virasoro algebra
According to the classification of the 3-dimensional solvable RDS type Lie algebra, we constructed a new class of 4-dimensional RDS type Lie algebra.
In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.
By using an algebraic method related to su(3) Lie algebra, exact solutions of the eigenvalue problem of the reduced Hamiltonian are derived analytically.
When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
CN Lie algebras, CS Lie algebras and Symmetry self - dual Lie algebras;
