when i run this code:
R.<v> = LaurentPolynomialRing(ZZ, 'v')
W = CoxeterGroup('A3', implementation='coxeter3')
H = IwahoriHeckeAlgebra(W, v**2); Cp=H.Cp()
Cp.product_on_basis(W([1,2,1]), W([3,1]))
Cp.product_on_basis(W([1,2,1]), W([3,1,2]))
it will be wrong and the error msg is :
RuntimeError Traceback (most recent call last) Cell In [1], line 2 1 R = LaurentPolynomialRing(ZZ, 'v', names=('v',)); (v,) = R._first_ngens(1) ----> 2 W = CoxeterGroup('A3', implementation='coxeter3') 3 H = IwahoriHeckeAlgebra(W, v**Integer(2)); Cp=H.Cp() 4 Cp.product_on_basis(W([Integer(1),Integer(2),Integer(1)]), W([Integer(3),Integer(1)])) File /home/sc_serv/sage/src/sage/misc/lazy_import.pyx:409, in sage.misc.lazy_import.LazyImport.__call__() 407 True 408 """ --> 409 return self.get_object()(*args, **kwds) 410 411 def __repr__(self): File /home/sc_serv/sage/src/sage/combinat/root_system/coxeter_group.py:140, in CoxeterGroup(data, implementation, base_ring, index_set) 138 from sage.libs.coxeter3.coxeter_group import CoxeterGroup 139 except ImportError: --> 140 raise RuntimeError("coxeter3 must be installed") 141 else: 142 return CoxeterGroup(cartan_type) RuntimeError: coxeter3 must be installed
I try to install this pkg by pip install coxeter3 or sage -i <options> <package name> ,
all ways were failed. How to install sage with package coxeter3?
Looking forward to your reply.