Grassmann Algebra

TheExteriorProduct.nb 17
BasisTable��
� BASIS
� 0
1
�
l
�i, j, k�
�
2
�i � j, i � k, j � k�
� 3
i � j � k
You can edit this table or copy and paste from it.
Creating a palette of basis elements
If you want to create a palette instead, you can use the BasisPalette[] command.
BasisPalette��
� BASIS
�
0
1
�
l
�i, j, k�
�
2
�i � j, i � k, j � k�
� 3
i � j � k
You can now click on any of the buttons to get its contents pasted into your notebook. For
example, clicking on both the elements of the third row gives:
� 2 ��i � j, i � k, j � k�
Creating a table or palette of basis elements in n dimensions
If you would like to create a table or palette of the basis elements of all the exterior linear spaces
induced by the default basis of dimension n, you can use the command BasisTable[n] or
BasisPalette[n] where n is a positive integer. The generation of this table or palette does
not depend on the currently declared basis.
2001 4 5
BasisTable�0�
� BASIS
� 0
1