Some of the things you can do with the GrassmannAlgebra software. You can: * Set up your own space of any dimension and metric. The default is a 3D Euclidean * Work basis-free or with a basis * Declare your own scalar symbols * Declare your own vector symbols: * Apply Grassmann operations. A Grassmann operation is any of: the complement operation and the six product operations: the exterior, regressive, interior, generalized Grassmann, hypercomplex and Clifford products. * Manipulate Grassmann expressions and numbers. A Grassmann expression is either a scalar, a Grassmann variable, or the result of a sequence of Grassmann operations or sums on Grassmann expressions. A Grassmann number is a Grassmann expression expressed as a linear combination of basis elements. * Compute the grade of any Grassmann expression. * Query the attributes of any expression. * Extract components of different types
S. Buchholz, E. Hitzer, and K. Tachibana. IN: PROC. JOINT 4TH INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND INTELLIGENT SYSTEMS AND 9TH INTERNATIONAL SYMPOSIUM ON ADVANCED INTELLIGENT SYSTEMS (SCIS AND ISIS 2008, (2008)
D. Hestenes. Clifford Algebras and their Applications in Mathematical Physics, volume 55 of Fundamental Theories of Physics, Springer Netherlands, (1993)
H. Li, L. Dong, C. Shao, and L. Huang. Proceedings of the conference on Applied Geometric Algebra in Computer Science and Engineering, page 195-204. (2015)