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weyl group element of E8 act on a positive root to get some partiular root but the below program shows error

W=WeylGroup(['E',8])

R = RootSystem(['E',8]).root_lattice()

alpha = R.simple_roots();alpha

[w for w in W if w.action(alpha[1])==(alpha[1]+alpha[2])]

Output shows : gap: cannot extend the workspace any more!

click to hide/show revision 2
No.2 Revision

weyl group element of E8 act on a positive root to get some partiular root but the below program shows error

W=WeylGroup(['E',8])

R = RootSystem(['E',8]).root_lattice()

alpha = R.simple_roots();alpha

[w for w in W if w.action(alpha[1])==(alpha[1]+alpha[2])]

Output shows : gap: cannot extend the workspace any more!

*Is their any alternative calculation to simplify the above *

click to hide/show revision 3
No.3 Revision

weyl group element of E8 act on a positive root roots to get some partiular root but the below program shows errorroots

W=WeylGroup(['E',8])

R = RootSystem(['E',8]).root_lattice()

alpha = R.simple_roots();alpha

[w for w in W if w.action(alpha[1])==(alpha[1]+alpha[2])]

Output shows : gap: cannot extend the workspace any more!

*Is their any alternative calculation to simplify the above *

click to hide/show revision 4
No.4 Revision

weyl Weyl group element of E8 act on positive roots to get some roots

W=WeylGroup(['E',8])

R = RootSystem(['E',8]).root_lattice()

alpha = R.simple_roots();alpha

[w for w in W if w.action(alpha[1])==(alpha[1]+alpha[2])]

Output shows : gap: cannot extend the workspace any more!

*Is their any alternative calculation to simplify the above *

click to hide/show revision 5
No.5 Revision

Weyl group element of E8 Create an alternative: W(E8) act on positive roots to get some roots

W=WeylGroup(['E',8])

R = RootSystem(['E',8]).root_lattice()

alpha = R.simple_roots();alpha

[w for w in W if w.action(alpha[1])==(alpha[1]+alpha[2])]

Output shows : gap: cannot extend the workspace any more!

*Is their any alternative calculation to simplify the above *

click to hide/show revision 6
retagged

updated 10 years ago

FrédéricC gravatar image

Create an alternative: W(E8) act on positive roots to get some roots

W=WeylGroup(['E',8])

R = RootSystem(['E',8]).root_lattice()

alpha = R.simple_roots();alpha

[w for w in W if w.action(alpha[1])==(alpha[1]+alpha[2])]

Output shows : gap: cannot extend the workspace any more!

*Is their any alternative calculation to simplify the above *