本文整理汇总了Python中cartan_type.CartanType_standard_finite类的典型用法代码示例。如果您正苦于以下问题：Python CartanType_standard_finite类的具体用法？Python CartanType_standard_finite怎么用？Python CartanType_standard_finite使用的例子？那么, 这里精选的类代码示例或许可以为您提供帮助。
在下文中一共展示了CartanType_standard_finite类的9个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: __init__
def __init__(self):
"""
EXAMPLES::
sage: ct = CartanType(['G',2])
sage: ct
['G', 2]
sage: ct._repr_(compact = True)
'G2'
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_crystallographic()
True
sage: ct.is_simply_laced()
False
sage: ct.dual()
['G', 2] relabelled by {1: 2, 2: 1}
sage: ct.affine()
['G', 2, 1]
TESTS::
sage: TestSuite(ct).run()
"""
CartanType_standard_finite.__init__(self, "G", 2)示例2: __init__
def __init__(self, n):
"""
EXAMPLES::
sage: ct = CartanType(['H',3])
sage: ct
['H', 3]
sage: ct._repr_(compact = True)
'H3'
sage: ct.rank()
3
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_affine()
False
sage: ct.is_crystallographic()
False
sage: ct.is_simply_laced()
False
TESTS::
sage: TestSuite(ct).run()
"""
assert n in [3, 4]
CartanType_standard_finite.__init__(self, "H", n)示例3: __init__
def __init__(self, n):
"""
EXAMPLES::
sage: ct = CartanType(['A',4])
sage: ct
['A', 4]
sage: ct._repr_(compact = True)
'A4'
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_affine()
False
sage: ct.is_crystallographic()
True
sage: ct.is_simply_laced()
True
sage: ct.affine()
['A', 4, 1]
sage: ct.dual()
['A', 4]
TESTS::
sage: TestSuite(ct).run()
"""
assert n >= 0
CartanType_standard_finite.__init__(self, "A", n)示例4: __init__
def __init__(self):
"""
EXAMPLES::
sage: ct = CartanType(['F',4])
sage: ct
['F', 4]
sage: ct._repr_(compact = True)
'F4'
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_crystalographic()
True
sage: ct.is_simply_laced()
False
sage: ct.dual()
['F', 4]^*
sage: ct.affine()
['F', 4, 1]
TESTS::
sage: ct == loads(dumps(ct))
True
"""
CartanType_standard_finite.__init__(self, "F", 4)示例5: __init__
def __init__(self, n):
"""
EXAMPLES::
sage: ct = CartanType(['I',5])
sage: ct
['I', 5]
sage: ct._repr_(compact = True)
'I5'
sage: ct.rank()
2
sage: ct.index_set()
[1, 2]
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_affine()
False
sage: ct.is_crystalographic()
False
sage: ct.is_simply_laced()
False
TESTS::
sage: ct == loads(dumps(ct))
True
"""
assert n >= 1
CartanType_standard_finite.__init__(self, "I", n)示例6: __init__
def __init__(self, n):
"""
EXAMPLES::
sage: ct = CartanType(['E',6])
sage: ct
['E', 6]
sage: ct._repr_(compact = True)
'E6'
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_affine()
False
sage: ct.is_crystalographic()
True
sage: ct.is_simply_laced()
True
sage: ct.affine()
['E', 6, 1]
sage: ct.dual()
['E', 6]
TESTS:
sage: ct == loads(dumps(ct))
True
"""
assert n >= 6 and n <= 8
CartanType_standard_finite.__init__(self, "E", n)示例7: __init__
def __init__(self, n):
"""
EXAMPLES::
sage: ct = CartanType(['E',6])
sage: ct
['E', 6]
sage: ct._repr_(compact = True)
'E6'
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_affine()
False
sage: ct.is_crystallographic()
True
sage: ct.is_simply_laced()
True
sage: ct.affine()
['E', 6, 1]
sage: ct.dual()
['E', 6]
TESTS::
sage: TestSuite(ct).run()
"""
if n < 6 or n > 8:
raise ValueError("Invalid Cartan Type for Type E")
CartanType_standard_finite.__init__(self, "E", n)示例8: __init__
def __init__(self, n):
"""
EXAMPLES::
sage: ct = CartanType(['D',4])
sage: ct
['D', 4]
sage: ct._repr_(compact = True)
'D4'
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_crystalographic()
True
sage: ct.is_simply_laced()
True
sage: ct.dual()
['D', 4]
sage: ct.affine()
['D', 4, 1]
sage: ct = CartanType(['D',2])
sage: ct.is_irreducible()
False
sage: ct.dual()
['D', 2]
sage: ct.affine()
Traceback (most recent call last):
...
ValueError: ['D', 2, 1] is not a valid cartan type
TESTS:
sage: ct == loads(dumps(ct))
True
"""
assert n >= 2
CartanType_standard_finite.__init__(self, "D", n)
if n >= 3:
self._add_abstract_superclass(CartanType_simple)示例9: __init__
def __init__(self, n):
"""
EXAMPLES::
sage: ct = CartanType(['B',4])
sage: ct
['B', 4]
sage: ct._repr_(compact = True)
'B4'
sage: ct.is_irreducible()
True
sage: ct.is_finite()
True
sage: ct.is_affine()
False
sage: ct.is_crystalographic()
True
sage: ct.is_simply_laced()
False
sage: ct.affine()
['B', 4, 1]
sage: ct.dual()
['C', 4]
sage: ct = CartanType(['B',1])
sage: ct.is_simply_laced()
True
sage: ct.affine()
['B', 1, 1]
TESTS::
sage: ct == loads(dumps(ct))
True
"""
assert n >= 1
CartanType_standard_finite.__init__(self, "B", n)
if n == 1:
self._add_abstract_superclass(CartanType_simply_laced)