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In this paper, the dispersionless D type Drinfeld-Sokolov hierarchy, i.e. areduction of the dispersionless two-component BKP hierarchy, is studied. Theadditional symmetry flows of this herarchy are presented. These flows form aninfinite dimensional Lie algebra of Block type as well as a Lie algebra ofHamiltonian type.

Block (or Hamiltonian) Lie symmetry of dispersionless D type Drinfeld-Sokolov hierarchy