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The HWModule function is broken: the commutation table for the negative root vectors is incomplete.
Example:
CM = ({ {2, -1, -1}, {-1, 2, 0}, {-1, 0, 2} }) CartanMatrixAlgebra[g, {x, h, y}, CM] HWModule[v, g, {1, 0, 0}] Table[Act[xx, vv], {xx, Basis[g]}, {vv, Basis[v]}]
Output for the commutation table:
{{v , - v , 0, 0, v , - v }, {0, v , - v , v , - v , 0}, {0, v , v , - v , - v , 0}, 1 2 5 6 2 3 4 5 2 3 4 5 {0, v , 0, 0, 0, v }, {0, 0, - v , 0, v , 0}, {0, 0, 0, - v , v , 0}, 1 5 2 4 2 3 {0, 0, - v , 0, 0, - v }, {0, 0, 0, - v , 0, - v }, {0, 0, 0, 0, v , v }, 1 4 1 3 1 2 {v , 0, 0, 0, v , 0}, {0, - v , 0, v , 0, 0}, {0, - v , v , 0, 0, 0}, 2 6 3 5 4 5 {v , 0, 0, v , 0, 0}, {v , 0, v , 0, 0, 0}, {v , v , 0, 0, 0, [y ,v ]}} 3 6 4 6 5 6 6 6
The text was updated successfully, but these errors were encountered:
HWModule: add test for #1
48ab159
The first attempt to solve #1
bbb5b7c
More tests are needed.
andrey-krutov
No branches or pull requests
The HWModule function is broken: the commutation table for the negative root vectors is incomplete.
Example:
Output for the commutation table:
The text was updated successfully, but these errors were encountered: