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evaluation of character of symmetric group.

asked 2016-06-13 19:37:37 -0500

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I am writing a code in sage where I am using character of Symmetric group. I want to evaluate the character of symmetric group on certain conjugacy classes. While I know the command for defining character as below.\

G = SymmetricGroup(3)\

rho = SymmetricGroupRepresentation([1,1,1])\

chi = rho.to_character();

I want to find chi([2,1]) that is to evaluate chi on the conjugacy class of type (2,1). Any help please ?

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answered 2016-06-14 13:25:44 -0500

FrédéricC gravatar image

Like that:

sage: G = SymmetricGroup(3)
sage: rho = SymmetricGroupRepresentation([1,1,1])
sage: chi = rho.to_character()
sage: chi(G([2,1,3]))
-1

This is explained in the doc.

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Asked: 2016-06-13 19:37:37 -0500

Seen: 274 times

Last updated: Jun 14 '16