GrassmannCalculus`
GradeDimension  |
Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
For the GrassmannPlane
In[2]:=
 | SetActiveSpacePreferences |
 | PublicGrassmannAtlas |
GrassmannDimensions
In[3]:=
 | GrassmannDimensions |
Out[3]=
{1,3,3,1}
GradeDimension
In[4]:=
| GradeDimension |
Out[4]=
3
This is the number of basis elements in the grade 2 or linear space.
Λ
2
In[5]:=
| GradeBasis |
Out[5]=
{★⋀,★⋀,⋀}
e
x
e
y
e
x
e
y
A table of the GradeDimensions gives the GrassmannDimensions.
In[6]:=
Table
[g],{g,0,3}
 | GradeDimension |
Out[6]=
{1,3,3,1}
Here we use a book 10-space. You can tabulate the dimensions of the with .
Λ
m
GradeDimension[m]
In[7]:=
| ★ℬ |
10
 | GradeDimension |
Out[7]=
{1,10,45,120,210,252,210,120,45,10,1}
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