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Generators of the super-Poincar\'e algebra in the non-(anti)commutativesuperspace are represented using appropriate higher-derivative operatorsdefined in this quantum superspace. Also discussed are the analogousrepresentations of the conformal and superconformal symmetry generators in thedeformed spaces. This construction is obtained by generalizing the recent workof Wess et al on the Poincar\'e generators in the $\theta$-deformed Minkowskispace, or by using the substitution rules we derived on the basis of thephase-space structures of non-(anti)commutative-space variables. Even with thenonzero deformation parameters the algebras remain unchanged although thecomultiplication rules are deformed. The transformation of the fields underdeformed symmetry is also discussed. Our construction can be used forsystematic developments of field theories in the deformed spaces.Comment: 1+19 pages, a typos in the title corrected, to appear in EPJ

Deformed conformal and super-Poincaré symmetries in the non- (anti-) commutative spaces