Weight Multiplicities

Groups of type B4, all 2-restricted weight in characteristic 2

Diagram:

1 < 2 - 3 - 4

Highest weight: [ 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1

Level	dominant weight	weight multiplicity	length of W-orbit
1	[ 0, 0, 0, 0 ]	1	1

Highest weight: [ 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 8

Level	dominant weight	weight multiplicity	length of W-orbit
9	[ 0, 0, 0, 1 ]	1	8

Highest weight: [ 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 16

Level	dominant weight	weight multiplicity	length of W-orbit
11	[ 1, 0, 0, 0 ]	1	16

Highest weight: [ 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 26

Level	dominant weight	weight multiplicity	length of W-orbit
15	[ 0, 0, 1, 0 ]	1	24
1	[ 0, 0, 0, 0 ]	2	1

Highest weight: [ 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 48

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 0, 1, 0, 0 ]	1	32
9	[ 0, 0, 0, 1 ]	2	8

Highest weight: [ 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 128

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 1, 0, 0, 1 ]	1	64
11	[ 1, 0, 0, 0 ]	4	16

Highest weight: [ 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 160

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 0, 0, 1, 1 ]	1	48
19	[ 0, 1, 0, 0 ]	2	32
9	[ 0, 0, 0, 1 ]	6	8

Highest weight: [ 1, 0, 1, 0 ]
Characteristic: 2
Dimension: 416

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 1, 0, 1, 0 ]	1	96
19	[ 1, 0, 0, 1 ]	3	64
11	[ 1, 0, 0, 0 ]	8	16

Highest weight: [ 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 246

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 1, 0, 1 ]	1	96
21	[ 2, 0, 0, 0 ]	2	16
17	[ 0, 0, 0, 2 ]	2	8
15	[ 0, 0, 1, 0 ]	4	24
1	[ 0, 0, 0, 0 ]	6	1

Highest weight: [ 1, 1, 0, 0 ]
Characteristic: 2
Dimension: 768

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 1, 0, 0 ]	1	64
25	[ 1, 0, 1, 0 ]	2	96
19	[ 1, 0, 0, 1 ]	5	64
11	[ 1, 0, 0, 0 ]	12	16

Highest weight: [ 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 784

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 1, 1, 0 ]	1	96
29	[ 2, 0, 0, 1 ]	2	64
23	[ 0, 0, 1, 1 ]	4	48
19	[ 0, 1, 0, 0 ]	8	32
9	[ 0, 0, 0, 1 ]	14	8

Highest weight: [ 1, 0, 1, 1 ]
Characteristic: 2
Dimension: 2560

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 1, 0, 1, 1 ]	1	192
29	[ 1, 1, 0, 0 ]	2	64
27	[ 1, 0, 0, 2 ]	3	64
25	[ 1, 0, 1, 0 ]	6	96
19	[ 1, 0, 0, 1 ]	15	64
11	[ 1, 0, 0, 0 ]	32	16

Highest weight: [ 1, 1, 0, 1 ]
Characteristic: 2
Dimension: 3936

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 1, 1, 0, 1 ]	1	192
33	[ 1, 0, 1, 1 ]	2	192
31	[ 3, 0, 0, 0 ]	2	16
29	[ 1, 1, 0, 0 ]	5	64
27	[ 1, 0, 0, 2 ]	5	64
25	[ 1, 0, 1, 0 ]	10	96
19	[ 1, 0, 0, 1 ]	19	64
11	[ 1, 0, 0, 0 ]	32	16

Highest weight: [ 0, 1, 1, 1 ]
Characteristic: 2
Dimension: 4096

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 0, 1, 1, 1 ]	1	192
37	[ 2, 0, 0, 2 ]	2	64
37	[ 0, 2, 0, 0 ]	2	32
35	[ 2, 0, 1, 0 ]	4	96
31	[ 0, 0, 1, 2 ]	4	48
29	[ 0, 0, 2, 0 ]	8	24
27	[ 0, 1, 0, 1 ]	14	96
21	[ 2, 0, 0, 0 ]	24	16
17	[ 0, 0, 0, 2 ]	24	8
15	[ 0, 0, 1, 0 ]	40	24
1	[ 0, 0, 0, 0 ]	64	1

Highest weight: [ 1, 1, 1, 0 ]
Characteristic: 2
Dimension: 12544

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 1, 1, 1, 0 ]	1	192
39	[ 3, 0, 0, 1 ]	2	64
39	[ 1, 0, 2, 0 ]	2	96
37	[ 1, 1, 0, 1 ]	4	192
33	[ 1, 0, 1, 1 ]	8	192
31	[ 3, 0, 0, 0 ]	8	16
29	[ 1, 1, 0, 0 ]	17	64
27	[ 1, 0, 0, 2 ]	14	64
25	[ 1, 0, 1, 0 ]	30	96
19	[ 1, 0, 0, 1 ]	52	64
11	[ 1, 0, 0, 0 ]	88	16

Highest weight: [ 1, 1, 1, 1 ]
Characteristic: 2
Dimension: 65536

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 1, 1, 1, 1 ]	1	384
47	[ 3, 0, 0, 2 ]	2	64
47	[ 1, 2, 0, 0 ]	2	64
47	[ 1, 0, 2, 1 ]	2	192
45	[ 3, 0, 1, 0 ]	4	96
45	[ 1, 1, 0, 2 ]	4	192
43	[ 1, 1, 1, 0 ]	8	192
41	[ 1, 0, 1, 2 ]	8	192
39	[ 3, 0, 0, 1 ]	14	64
39	[ 1, 0, 2, 0 ]	16	96
37	[ 1, 1, 0, 1 ]	28	192
35	[ 1, 0, 0, 3 ]	14	64
33	[ 1, 0, 1, 1 ]	48	192
31	[ 3, 0, 0, 0 ]	48	16
29	[ 1, 1, 0, 0 ]	80	64
27	[ 1, 0, 0, 2 ]	80	64
25	[ 1, 0, 1, 0 ]	132	96
19	[ 1, 0, 0, 1 ]	210	64
11	[ 1, 0, 0, 0 ]	328	16