Indecomposable representations¶
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msinvar.indecomposable.hua_formula(Q)[source]¶ Count the number of (absolutely) indecomposable representations of the quiver Q.
We apply the Hua formula as described in arXiv:math/0608321.
EXAMPLES:
sage: from msinvar.quivers import Quiver sage: from msinvar.indecomposable import hua_formula sage: Q=Quiver('1-2') # quiver of type A2 sage: Q.prec([3,3]) sage: hua_formula(Q).dict() {(0, 1): 1, (1, 0): 1, (1, 1): 1} sage: Q=Quiver('1-1') # Jordan quiver sage: Q.prec([3]) sage: hua_formula(Q).dict() # we use q=y^2 {(1,): y^2, (2,): y^2, (3,): y^2}