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can incidence algebras over ring that is not number ring?

asked 2020-07-13 14:20:06 +0200

Xie gravatar image

updated 2020-07-14 08:38:17 +0200

FrédéricC gravatar image

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 +0200

FrédéricC gravatar image

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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Comments

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

Xie gravatar imageXie ( 2020-07-14 10:34:27 +0200 )edit

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Asked: 2020-07-13 14:20:06 +0200

Seen: 49 times

Last updated: Jul 14 '20