It looks strange, but really only means that the embedding D2 x D2 -> D8
can't be chosen to be invariant under (D8-) parity. As a simpler example,
A3 -> D4 can't be chosen to be invariant under triality: One of 8s, 8c, 8v
will be treated differently.
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Dear all,
here is some question on branching rules that I have little clue about.
Best,
Dima
-- Forwarded message --
From: Daniel Miller (dmillera)
Date: 5 October 2013 19:38
Subject: Left-Right asymmetry in D8->D2xD2 and other "tensor" branching rules
To: "Dmitrii V Pasechnik (