def __init__(self, cartan_type):
"""
TESTS::
sage: from sage.libs.coxeter3.coxeter_group import CoxeterGroup # optional - coxeter3
sage: CoxeterGroup(['A',2]) # optional - coxeter3
Coxeter group of type ['A', 2] implemented by Coxeter3
sage: TestSuite(CoxeterGroup(['A',2])).run() # optional - coxeter3
"""
Parent.__init__(self, category=(FiniteCoxeterGroups() if cartan_type.is_finite() else CoxeterGroups()))
self._coxgroup = get_CoxGroup(cartan_type)
self._cartan_type = cartan_type
def __init__(self, cartan_type):
"""
TESTS::
sage: from sage.libs.coxeter3.coxeter_group import CoxeterGroup # optional - coxeter3
sage: CoxeterGroup(['A',2]) # optional - coxeter3
Coxeter group of type ['A', 2] implemented by Coxeter3
As degrees and codegrees are not implemented, they are skipped in the
testsuite::
sage: to_skip = ['_test_degrees', '_test_codegrees']
sage: TestSuite(CoxeterGroup(['A',2])).run(skip=to_skip) # optional - coxeter3
"""
category = CoxeterGroups()
if cartan_type.is_finite():
category = category.Finite()
Parent.__init__(self, category=category)
self._coxgroup = get_CoxGroup(cartan_type)
self._cartan_type = cartan_type
def __init__(self, cartan_type):
"""
TESTS::
sage: from sage.libs.coxeter3.coxeter_group import CoxeterGroup # optional - coxeter3
sage: CoxeterGroup(['A',2]) # optional - coxeter3
Coxeter group of type ['A', 2] implemented by Coxeter3
As degrees and codegrees are not implemented, they are skipped in the
testsuite::
sage: to_skip = ['_test_degrees', '_test_codegrees']
sage: TestSuite(CoxeterGroup(['A',2])).run(skip=to_skip) # optional - coxeter3
"""
category = CoxeterGroups()
if cartan_type.is_finite():
category = category.Finite()
Parent.__init__(self, category=category)
self._coxgroup = get_CoxGroup(cartan_type)
self._cartan_type = cartan_type