Method for the installation and/or removal of burners of a gas turbine having an in particular annular combustion chamber, and/or of transition pieces of an in particular annular combustion chamber of a gas turbine, in which - use is made of an adapter system according to Claim 8 with a burner adapter and a transition adapter, - provision is made of a robot having a robot arm, in particular an articulated-arm robot, having the burner adapter which is releasably attached to the free end of the robot arm and which is designed to receive an axial end region of a burner for a gas turbine, and which has means for attaching a burner to the burner adapter, - the robot arm is positioned in such a way that an axial end region of a burner is received by the burner adapter, - the burner is releasably attached to the burner adapter, - the burner is removed, using the robot, from an installation position in the casing of the combustion chamber of a gas turbine, or is brought, using the robot, into an installation position in the casing of the combustion chamber of a gas turbine, - the attachment of the burner to the burner adapter is released, - the transition adapter, which has means for releasably attaching, to the transition adapter, a transition piece of the combustion chamber that in the installed state sits in particular behind a burner, is releasably attached on the burner adapter, in particular on its side oriented away from the free end of the robot arm, - the robot arm is positioned in such a way that the transition adapter comes to bear against a transition piece, - the transition piece is releasably attached to the transition adapter, - using the robot, the transition piece is removed from an installation position in the casing of the combustion chamber, or is brought into an installation position in the casing of the combustion chamber, and - the attachment of the transition piece to the transition adapter is released. - use is made of an adapter system according to Claim 8 with a burner adapter and a transition adapter, - provision is made of a robot having a robot arm, in particular an articulated-arm robot, having the burner adapter which is releasably attached to the free end of the robot arm and which is designed to receive an axial end region of a burner for a gas turbine, and which has means for attaching a burner to the burner adapter, - the robot arm is positioned in such a way that an axial end region of a burner is received by the burner adapter, - the burner is releasably attached to the burner adapter, - the burner is removed, using the robot, from an installation position in the casing of the combustion chamber of a gas turbine, or is brought, using the robot, into an installation position in the casing of the combustion chamber of a gas turbine, - the attachment of the burner to the burner adapter is released, - the transition adapter, which has means for releasably attaching, to the transition adapter, a transition piece of the combustion chamber that in the installed state sits in particular behind a burner, is releasably attached on the burner adapter, in particular on its side oriented away from the free end of the robot arm, - the robot arm is positioned in such a way that the transition adapter comes to bear against a transition piece, - the transition piece is releasably attached to the transition adapter, - using the robot, the transition piece is removed from an installation position in the casing of the combustion chamber, or is brought into an installation position in the casing of the combustion chamber, and - the attachment of the transition piece to the transition adapter is released.