Fonarev-Collection_on_Grassmannians.ipynb

Kernel: SageMath 9.8

%run '/home/user/Equivariant_Vector_Bundles_On_Homogeneous_Varieties__0-0-1/src/Initialize.ipynb'

from IPython.display import clear_output , display , HTML
import pandas as pd

k = 3
n = 9
X = Grassmannian(k,n)
print( 'X:' , X )
print()
for Counter , cE in enumerate( X.Fonarev_Collection() , start=1 ) :
    print( Counter , cE )

X: Grassmannian variety of 3-dimensional linear subspaces in a 9-dimensional ambient vector space.

1 VB(0)
2 VB(Lambda[1])
3 VB(Lambda[2])
4 VB(2*Lambda[1])
5 VB(Lambda[1] + Lambda[2])
6 VB(2*Lambda[2])
7 VB(3*Lambda[1])
8 VB(2*Lambda[1] + Lambda[2])
9 VB(Lambda[1] + 2*Lambda[2])
10 VB(2*Lambda[1] + 2*Lambda[2])
11 VB(Lambda[3])
12 VB(Lambda[1] + Lambda[3])
13 VB(Lambda[2] + Lambda[3])
14 VB(2*Lambda[1] + Lambda[3])
15 VB(Lambda[1] + Lambda[2] + Lambda[3])
16 VB(2*Lambda[2] + Lambda[3])
17 VB(3*Lambda[1] + Lambda[3])
18 VB(2*Lambda[1] + Lambda[2] + Lambda[3])
19 VB(Lambda[1] + 2*Lambda[2] + Lambda[3])
20 VB(2*Lambda[1] + 2*Lambda[2] + Lambda[3])
21 VB(2*Lambda[3])
22 VB(Lambda[1] + 2*Lambda[3])
23 VB(Lambda[2] + 2*Lambda[3])
24 VB(2*Lambda[1] + 2*Lambda[3])
25 VB(Lambda[1] + Lambda[2] + 2*Lambda[3])
26 VB(2*Lambda[2] + 2*Lambda[3])
27 VB(3*Lambda[1] + 2*Lambda[3])
28 VB(2*Lambda[1] + Lambda[2] + 2*Lambda[3])
29 VB(Lambda[1] + 2*Lambda[2] + 2*Lambda[3])
30 VB(2*Lambda[1] + 2*Lambda[2] + 2*Lambda[3])
31 VB(3*Lambda[3])
32 VB(Lambda[1] + 3*Lambda[3])
33 VB(Lambda[2] + 3*Lambda[3])
34 VB(2*Lambda[1] + 3*Lambda[3])
35 VB(Lambda[1] + Lambda[2] + 3*Lambda[3])
36 VB(2*Lambda[2] + 3*Lambda[3])
37 VB(3*Lambda[1] + 3*Lambda[3])
38 VB(2*Lambda[1] + Lambda[2] + 3*Lambda[3])
39 VB(Lambda[1] + 2*Lambda[2] + 3*Lambda[3])
40 VB(4*Lambda[3])
41 VB(Lambda[1] + 4*Lambda[3])
42 VB(Lambda[2] + 4*Lambda[3])
43 VB(2*Lambda[1] + 4*Lambda[3])
44 VB(Lambda[1] + Lambda[2] + 4*Lambda[3])
45 VB(2*Lambda[2] + 4*Lambda[3])
46 VB(3*Lambda[1] + 4*Lambda[3])
47 VB(2*Lambda[1] + Lambda[2] + 4*Lambda[3])
48 VB(Lambda[1] + 2*Lambda[2] + 4*Lambda[3])
49 VB(5*Lambda[3])
50 VB(Lambda[1] + 5*Lambda[3])
51 VB(Lambda[2] + 5*Lambda[3])
52 VB(2*Lambda[1] + 5*Lambda[3])
53 VB(Lambda[1] + Lambda[2] + 5*Lambda[3])
54 VB(2*Lambda[2] + 5*Lambda[3])
55 VB(3*Lambda[1] + 5*Lambda[3])
56 VB(2*Lambda[1] + Lambda[2] + 5*Lambda[3])
57 VB(Lambda[1] + 2*Lambda[2] + 5*Lambda[3])
58 VB(6*Lambda[3])
59 VB(Lambda[1] + 6*Lambda[3])
60 VB(Lambda[2] + 6*Lambda[3])
61 VB(2*Lambda[1] + 6*Lambda[3])
62 VB(Lambda[1] + Lambda[2] + 6*Lambda[3])
63 VB(2*Lambda[2] + 6*Lambda[3])
64 VB(3*Lambda[1] + 6*Lambda[3])
65 VB(2*Lambda[1] + Lambda[2] + 6*Lambda[3])
66 VB(Lambda[1] + 2*Lambda[2] + 6*Lambda[3])
67 VB(7*Lambda[3])
68 VB(Lambda[1] + 7*Lambda[3])
69 VB(Lambda[2] + 7*Lambda[3])
70 VB(2*Lambda[1] + 7*Lambda[3])
71 VB(Lambda[1] + Lambda[2] + 7*Lambda[3])
72 VB(2*Lambda[2] + 7*Lambda[3])
73 VB(3*Lambda[1] + 7*Lambda[3])