Grassmann Algebra

Declarations
�n
�n
declare a linear or vector space of n dimensions
declare an n-plane comprising an origin point and a vector space of n dimensions
� declare the default list of scalars
� declare the default Euclidean metric
Special objects
1 unit scalar
�����
1 unit n-element
� origin point
� metric factor
� symbolic dimension
� dimension of the currently declared space
� dimension of the current Grassmann algebra
� list of grades of the current Grassmann algebra
� 0
� 1
� m
� n
� �
Notation.nb 2
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Spaces
linear space of scalars or field of scalars
linear space of 1-elements, underlying linear space
linear space of m-elements
linear space of n-elements
Grassmann algebra
Basis elements
basis 1-element or covariant basis element
e i contravariant basis 1-element
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m
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basis m-element or covariant basis m-element
contravariant basis m-element