Limitations of GAP interface

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Andrey Novoseltsev

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Apr 24, 2022, 3:57:28 PMApr 24
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This has been reported at https://github.com/sagemath/sagecell/issues/560 but as far as I can see is the problem of GAP interface in Sage itself. Perhaps somebody familiar with it may want to take a look ;-)

Dima Pasechnik

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Apr 24, 2022, 6:23:26 PMApr 24
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the following works with Sage 9.6.rc1

sage: t=libgap.function_factory('''function()
....: local Q, KQ, rel, A;
....: LoadPackage("qpa");
....: Q:=Quiver(3,[[1,2,"a"],[2,3,"b"]]);
....: KQ:=PathAlgebra(GF(3),Q);
....: AssignGeneratorVariables(KQ);
....: rel:=[a*b];
....: A:=KQ/rel;
....: return A;
....: end;''')
sage: t()
#I Assigned the global variables [ v1, v2, v3, a, b ]
<GF(3)[<quiver with 3 vertices and 2 arrows>]/<two-sided ideal in
<GF(3)[<quiver with 3 vertices and 2 arrows>]>, (1 generators)>>
sage:

I won't want to touch GAP's pexpect interface...


On Sun, Apr 24, 2022 at 8:57 PM Andrey Novoseltsev <novo...@gmail.com> wrote:
>
> This has been reported at https://github.com/sagemath/sagecell/issues/560 but as far as I can see is the problem of GAP interface in Sage itself. Perhaps somebody familiar with it may want to take a look ;-)
>
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Dima Pasechnik

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Apr 25, 2022, 6:03:01 AMApr 25
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In case, one can in fact do this computation without the need to
swithing to GAP, as follows:

sage: libgap.LoadPackage("qpa")
....: Q=libgap.Quiver(3,[[1,2,"a"],[2,3,"b"]])
....: KQ=libgap.PathAlgebra(libgap.GF(3),Q)
....: KQ.AssignGeneratorVariables()
true
...
#I Assigned the global variables [ v1, v2, v3, a, b ]
sage: a=libgap.eval('a')
....: b=libgap.eval('b')
....: rel=[a*b]
....: KQ/rel
<GF(3)[<quiver with 3 vertices and 2 arrows>]/<two-sided ideal in
<GF(3)[<quiver with 3 vertices and 2 arrows>]>, (1 generators)>>

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