A method of incorporating the results of Grassmann calculus within the framework of geometric algebra is presented, and shown to lead to a new concept, the multivector Lagrangian. A general theory for multivector Lagrangians is outlined, and the crucial role of the multivector derivative is emphasised. A generalisation of Noether’s theorem is derived, from which conserved quantities can be found conjugate to discrete symmetries.

C. J. L. Doran, A. N. Lasenby and S. F. Gull. **Grassmann Mechanics, Multivector Derivatives and Geometric Algebra, **In Z. Oziewicz, A. Borowiec and B. Jancewicz, editors, *Spinors, Twistors, Clifford Algebras and Quantum Deformations* (Kluwer Academic, Dordrecht, 1993), p. 215-226