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0 years ago edited question Iterate over tranlsation elements of affine Weyl group

Iterate over tranlsation elements of affine Weyl group I want to do some computations in the Kazhdan-Lusztig basis of an

0 years ago asked a question Iterate over tranlsation elements of affine Weyl group

Iterate over tranlsation elements of affine Weyl group I want to do some computations in the Kazhdan-Lusztig basis of an

0 years ago marked best answer return structure constants of Iwahori-Hecke algebra as a list of pairs

I would like to return the result of multiplication in an Iwahori-Hecke algebra not as the element on the right hand side of CxCy=zhx,y,zCz

but as a list of pairs (z,hx,y,z).

Is this possible? It is easy to return a vector of just the coefficients without the index z: Can this list be created from the usual setup, e.g.

R.<v> = LaurentPolynomialRing(ZZ)
H = IwahoriHeckeAlgebra(['A',2,1], v^2)
W= H.coxeter_group()
s= W.simple_reflections();s
C=H.C()

C.product_on_basis(s[1], s[2]*s[1])
Cp[1,2,1] + Cp[1]

(C.product_on_basis(s[1], s[2]*s[1])).coefficients()
[1, 1]

But how can I also remember the indices z?

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0 years ago edited question return structure constants of Iwahori-Hecke algebra as a list of pairs

return structure constants of Iwahori-Hecke algebra as a list of pairs I would like to return the result of multiplicati

0 years ago asked a question return structure constants of Iwahori-Hecke algebra as a list of pairs

return structure constants of Iwahori-Hecke algebra as a list of pairs I would like to return the result of multiplicati

0 years ago asked a question Dimensions of representations obtained by branching rule are incorrect

Dimensions of representations obtained by branching rule are incorrect Consider SO3GL3 as f