rational weights of (affine) Lie algebra

asked 2023-04-14 16:51:20 +0100

lelouch
11 ●1

I am studying affine Lie algebra with non-integral level and weights.

However, multiplying a rational number, like -3/4, to the affine fundamental weights will cause an error TypeError: unsupported operand parent(s) for *: 'Rational Field' and 'Extended weight lattice of the Root system of type ['A', 2, 1]'.

I wonder how to work with rationals?

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answered 2023-04-15 13:14:58 +0100

FrédéricC

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Like this

sage: R = RootSystem(['A',2,1])
sage: L = R.weight_space().basis()
sage: 3/4*L[0]
3/4*Lambda[0]

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Thanks! I'll have a try.

lelouch ( 2023-04-24 04:01:02 +0100 )edit

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Asked: 2023-04-14 16:51:20 +0100

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Last updated: Apr 15 '23

rational weights of (affine) Lie algebra edit