On Wed, Jun 23, 2021 at 8:43 PM Ronno Das <ronno...@gmail.com> wrote: > > Yes, I wrote a wrapper that calls irreducible_characters() once and caches > the results. There seems to be more issues about the output though, for > example char_1.symmetric_power(2) throws an error. I think ClassFunction(G, > char_1.values()) works as expected, but that's again a workaround and might > have other issues.
You might prefer to work directly with GAP via libgap. It just works. sage: G = libgap.SymmetricGroup(3) sage: G.CharacterTable().Irr()[2] Character( CharacterTable( Sym( [ 1 .. 3 ] ) ), [ 1, 1, 1 ] ) sage: G.CharacterTable().Irr()[2] Character( CharacterTable( Sym( [ 1 .. 3 ] ) ), [ 1, 1, 1 ] ) sage: G.CharacterTable().Irr()[1] Character( CharacterTable( Sym( [ 1 .. 3 ] ) ), [ 2, 0, -1 ] ) sage: a=G.CharacterTable().Irr()[1] sage: b=G.CharacterTable().Irr()[2] sage: b.ScalarProduct(b) 1 sage: b.ScalarProduct(a) 0 > On Wednesday, June 23, 2021 at 12:42:16 PM UTC-5 trevor...@gmail.com wrote: >> >> I see the same issue on 9.4.beta1. It looks like maybe there is a unique >> representation issue happening? That is, on your second call if irreducible >> characters, it creates a new instance of the irreducible and so it doesn't >> recognize them as the same. If you only compute the >> G.irreducible_characters() once, it seems to work: >> >> sage: G = SymmetricGroup(3) >> sage: irr = >> G.irreducible_characters() >> sage: char_1 = irr[0] >> >> sage: char_2 = irr[0] >> sage: >> char_1.scalar_product(char_2) >> >> 1 >> >> Does this approach work for your use-case? >> >> On Wednesday, June 23, 2021 at 9:30:20 AM UTC-5 ronn...@gmail.com wrote: >>> >>> The following code throws the error "GAPError: Error, no method found! >>> Error, no 1st choice method found for `=' on 2 arguments": >>> >>> G = SymmetricGroup(3) >>> char_1 = G.irreducible_character()[0] >>> char_2 = G.irreducible_character()[0] >>> char_1.scalar_product(char_2) # should be 1(or maybe 0 if the order is not >>> consistent) >>> >>> The same issue appears if G is a PermutationGroup. I'm running sage 9.3, >>> compiled from source. > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/6fb2fafe-caff-450a-af34-44e82b961eadn%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq3-sfHFNVCt1R3o%2BwDM%3Dhek6w0NamD_sQNs3XFGfxNC4Q%40mail.gmail.com.
