# Source code for sympy.liealgebras.cartan_type

from __future__ import print_function, division

from sympy.core import Basic

[docs]class CartanType_generator(Basic):
"""
Constructor for actually creating things
"""
def __call__(self, *args):
c = args[0]
if type(c) == list:
letter, n = c[0], int(c[1])
elif type(c) == str:
letter, n = c[0], int(c[1:])
else:
raise TypeError("Argument must be a string (e.g. 'A3') or a list (e.g. ['A', 3])")

if n < 0:
raise ValueError("Lie algebra rank cannot be negative")
if letter == "A":
from . import type_a
return type_a.TypeA(n)
if letter == "B":
from . import type_b
return type_b.TypeB(n)

if letter == "C":
from . import type_c
return type_c.TypeC(n)

if letter == "D":
from . import type_d
return type_d.TypeD(n)

if letter == "E":
if n >= 6 and n <= 8:
from . import type_e
return type_e.TypeE(n)

if letter == "F":
if n == 4:
from . import type_f
return type_f.TypeF(n)

if letter == "G":
if n == 2:
from . import type_g
return type_g.TypeG(n)

CartanType = CartanType_generator()

[docs]class Standard_Cartan(Basic):
"""
Concrete base class for Cartan types such as A4, etc
"""

def __new__(cls, series, n):
obj = Basic.__new__(cls, series, n)
obj.n = n
obj.series = series
return obj

[docs]    def rank(self):
"""
Returns the rank of the Lie algebra
"""
return self.n

[docs]    def series(self):
"""
Returns the type of the Lie algebra
"""
return self.series