| Abstract:
This week we will look at two ways groups can be used in orthogonal
matrices: they can provide entries, and they can provide "shape" via
a group representation -- or they can act in both ways
simultaneously, as in the matrices we will study, and a duality
between them that arises out of a bit of simple algebra, a result
from my PhD thesis. Then we will see a generalization of this result
involving a more generalized type of group connection and provides
some useful insights into certain important classes of projective
planes.
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