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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

11 votes
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Why are these graphs coming from 9-dimensional alternating trilinear forms so symmetric?

Let $\phi(x,y,z)$ be an alternating trilinear form on a space $V$ over a field $K$. Let $u \in \mathbb{P}(V)$ be a projective point over $V$, then we say that the rank of $u$ is equal to the rank of t …
Ward Beullens's user avatar
8 votes
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Why are these graphs coming from 9-dimensional alternating trilinear forms so symmetric?

The structure of the graph comes from a group structure on the set of rank-4 points! Apparently you can associate an Abelian surface to alternating trilinear forms in dimension 9, e.g., see The geomet …
Ward Beullens's user avatar