Discussions between Mercio and Rudi B

DIscussions on a common paper
Sep 10, 2019 11:54
is there any news from the reviewers ?
Aug 29, 2019 18:44
and for each path from $x_0$ to $x_1$ you have a map from $S(x_0)$ to $S(x_1)$
Aug 29, 2019 18:43
so maybe it's only a topological bundle
Aug 29, 2019 18:43
ah, except that we don't know if the transfer maps are linear
Aug 29, 2019 18:41
at each point $x_0$ you have a vector space of solutions near $x_0$
Aug 29, 2019 18:41
that sounds like a vector bundle
Aug 27, 2019 08:12
I know a little about it
Aug 24, 2019 15:43
okay
Aug 24, 2019 15:40
but when you want to talk about representations it makes more sense to define the categories in terms of the representation and not in terms of something awkward that happens to coincide by luck
Aug 24, 2019 15:39
I had it written down
Aug 24, 2019 15:39
I think it's proved somewhere
Aug 24, 2019 15:30
but it's not like you can say "the representation corresponding to the elements of highest order" cuz that's all mathematical nonsense
Aug 24, 2019 15:29
yes there was something like that
Aug 24, 2019 15:28
ah the number of elements of order > 2 ?
Aug 24, 2019 15:28
uh what ?
Aug 24, 2019 15:18
but I'm not aware of any one that works, at least from the mathematical side
Aug 24, 2019 15:18
so yeah I wish there were nice names for the three families
Aug 24, 2019 15:17
yeah
Aug 24, 2019 15:17
cyclic group of order >= 3 I think
Aug 24, 2019 15:16
there are some abelian groups in the Kae family right ?
Aug 24, 2019 15:14
except that
"the irreducible representation corresponding to rotation about the high-symmetry axis" is eeew
Aug 24, 2019 15:14
by trying to phrase it like he wants to and putting it in some place it's easy to see if that isn't the case already
Aug 24, 2019 15:11
so we should heed hi sadvice so more of the readers also get it
Aug 24, 2019 15:10
and is focusing on that
Aug 24, 2019 15:10
but really he got what is the important part of the paper
Aug 24, 2019 15:10
unlike someone else
Aug 24, 2019 15:10
and he didn't say that the note on page S2 was wrong
Aug 24, 2019 15:10
he feels nicer somehow
Aug 24, 2019 15:08
"the irreducible representation corresponding to rotation about the high-symmetry axis" this sounds so mathematically vague
Aug 24, 2019 15:03
:s
Aug 24, 2019 14:59
have you looked up Schleyer's works ?
Aug 24, 2019 14:59
but I like this reviewer more than the previous one
Aug 24, 2019 14:58
also there is the tidbit that technically the tables are infinitely long
Aug 24, 2019 14:56
but talking about 'doubly-degenerate point groups' will lose all of your mathematician audience !
Aug 24, 2019 14:46
ah
Aug 24, 2019 14:46
we don't know where Th ends and where Oh begins
Aug 24, 2019 14:45
for example in table 4
Aug 24, 2019 14:45
tables 1 - 5
Aug 24, 2019 14:44
have they always been like that ?
Aug 24, 2019 14:44
can you add some vertical bars to the tables though ?
Aug 24, 2019 14:44
ah I thought this one had been cleared up
Aug 24, 2019 14:42
referee 3 ?
Aug 24, 2019 14:39
and the computation rules between them that allow us to do anything
Aug 24, 2019 14:39
with tensor products and direct sums and alternate squares and so on
Aug 24, 2019 14:39
that's why you need to be able to express those relationships
Aug 24, 2019 14:38
the whole point is being to explain how the second one is going to reduce when you know how the first one reduces and what is going to be the relationships between all the pieces
Aug 24, 2019 14:38
"and therefore are simultaneously reducible or irreducible"
Aug 24, 2019 14:32
though I'd be easier for me if I knew which expression he is criticising
Aug 24, 2019 14:30
the definitions of tensor products and direct sums of representations or of anything are widely accessible
Aug 24, 2019 14:29
i'm hurt