“…Many interesting properties of continual Lie algebras have been found useful in applications within the group-theoretical approach [13] to the construction of exactly solvable dynamical systems [18,19,2,3,4,23,22]. The structure of commutations relations and bilinear mappings K turned out to be very helpful in the development of noncommutative generalizations for known integrable models [23,22,24]. Continual Lie algebras with noncommutative root space we introduce inspire various new applications in integrable models.…”