can incidence algebras over ring that is not number ring?

asked 2020-07-13 14:20:06 +0100

Xie
31 ●2 ●5

updated 2022-06-30 21:08:40 +0100

FrédéricC

5251 ●3 ●44 ●116

I try the following codes, but it does not work.

SF= SymmetricFunctions(QQ) 
s = SF.s() 
I = P.incidence_algebra(SF)
s([2,1])*I[1,1]  
TypeError: unsupported operand parent(s) for *: 'Symmetric Functions over Rational Field in the Schur basis' and 'Incidence algebra of Finite lattice containing 4 elements over Symmetric Functions over Rational Field'

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answered 2020-07-14 08:45:04 +0100

FrédéricC

5251 ●3 ●44 ●116

Like this

P = posets.PentagonPoset()
SF = SymmetricFunctions(QQ) 
s = SF.s() 
I = P.incidence_algebra(s)
s([2,1])*I[1,1]

This is because SF.s() is another parent.

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Thanks! I only use s for computation and do not know s can be used as a ring.

Xie ( 2020-07-14 10:34:27 +0100 )edit

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Asked: 2020-07-13 14:20:06 +0100

Seen: 245 times

Last updated: Jul 14 '20

can incidence algebras over ring that is not number ring? edit