New method classifies special Vinberg cones of rank 4.
problem Classifying special Vinberg cones of rank 4.
method Using Clifford Nil-algebras and directed acyclic graphs.
result Explicit classification of rank 4 special Vinberg cones.
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New method classifies special Vinberg cones of rank 4.
The study describes special real manifolds and invariant admissible cubics in Vinberg cones.