本文整理匯總了Python中sage.groups.perm_gps.permgroup_named.SymmetricGroup.subgroup方法的典型用法代碼示例。如果您正苦於以下問題：Python SymmetricGroup.subgroup方法的具體用法？Python SymmetricGroup.subgroup怎麽用？Python SymmetricGroup.subgroup使用的例子？那麽, 這裏精選的方法代碼示例或許可以為您提供幫助。您也可以進一步了解該方法所在類sage.groups.perm_gps.permgroup_named.SymmetricGroup的用法示例。
在下文中一共展示了SymmetricGroup.subgroup方法的1個代碼示例，這些例子默認根據受歡迎程度排序。您可以為喜歡或者感覺有用的代碼點讚，您的評價將有助於係統推薦出更棒的Python代碼示例。
示例1: reflection_group
# 需要導入模塊: from sage.groups.perm_gps.permgroup_named import SymmetricGroup [as 別名]
# 或者: from sage.groups.perm_gps.permgroup_named.SymmetricGroup import subgroup [as 別名]
def reflection_group(self, type="matrix"):
"""
Return the reflection group corresponding to ``self``.
EXAMPLES::
sage: C = CartanMatrix(['A',3])
sage: C.reflection_group()
Weyl Group of type ['A', 3] (as a matrix group acting on the root space)
"""
from sage.groups.perm_gps.permgroup_named import SymmetricGroup
RS = self.root_space()
G = RS.weyl_group()
if type == "matrix":
return G
elif type == "permutation":
assert G.is_finite()
Phi = RS.roots()
gens = {}
S = SymmetricGroup(len(Phi))
for i in self.index_set():
pi = S([ Phi.index( beta.simple_reflection(i) ) + 1 for beta in Phi ])
gens[i] = pi
return S.subgroup( gens[i] for i in gens )
else:
raise ValueError("The reflection group is only available as a matrix group or as a permutation group.")