Quantum deformation of BRST algebra

We investigate theq-deformation of the BRST algebra, the algebra of the ghost, matter and gauge fields on one spacetime point using the result of the bicovariant differential caculus. There are two nilpotent operations in the algebra, the BRST transformation _B and the derivatived. We show that one can define the covariant commutation relations among the fields and their derivatives consistently with these two operations as well as the *-operation, the antimultiplicativ e inner involution.This work is partly supported by Alexsander von Humboldt Foundation