GrassmannCalculus`
ToGeneralizedProducts  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
Here are the Clifford and hypercomplex products of two 1-elements converted to generalized Grassmann products.
In[2]:=
★A;
[{x⋄y,x∘y}]
 | ToGeneralizedProducts |
Out[2]=
xy+xy,xy+(xy)
△
0
△
1
1,0,1
★σ
△
0
1,1,1
★σ
△
1
Here is the conversion of a multigraded Clifford product, and its subsequent simplification in a 3-space using .
GrassmannSimplify
In[3]:=
X=
⋄
 | ToGeneralizedProducts |
x
{0,1,2,3}
y
2
Out[3]=
x
0
△
0
y
2
x
1
△
0
y
2
x
2
△
0
y
2
x
3
△
0
y
2
x
1
△
1
y
2
x
2
△
1
y
2
x
3
△
1
y
2
x
2
△
2
y
2
x
3
△
2
y
2
In[4]:=
★A;
[X]
| ★ |
Out[4]=
-⊖-⊖+⊖++⋀-+
x
2
y
2
x
3
y
2
y
2
x
1
x
0
y
2
x
1
y
2
x
2
△
1
y
2
x
3
△
1
y
2
In[5]:=
Clear[X]
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""