Lie algebra admitted by the differential system s³(3) and functional basis of invariants polynomials

Key Points

• The aim is to explore the Lie algebra related to the centro-affine group and to find invariant polynomials associated with a ternary differential system.
• Obtained the Lie algebra for the centro-affine group representation.
• Determined the number of elements in the functional basis of invariant polynomials.
• Constructed functional bases for comitants and contravariants.
• Identified the number of invariant centro-affine polynomials.
• Obtained irreducible elements from the invariant polynomial bases.
• Established a functional basis for comitants and contravariants.

Abstract