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We consider the relation between higher spin gauge fields and real Kac–Moody Lie algebras. These algebras are obtained by double and triple extensions of real forms $${\mathfrak{g}_0}$$ of the finite-dimensional simple algebras $${\mathfrak{g}}$$ arising in dimensional reductions of gravity and supergravity theories. Besides providing an exhaustive list of all such algebras, together with...
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