Lie groups and Lie algebras: Duals

We discuss the dual of a representation. We show that any SU(2) representation is isomorphic to its own dual, and given an example of an SU(3) representation which is not self-dual. Finally, we discuss the connection to the quark model (classification of mesons).

[@hyperduality2838]

Lie groups are dual to lie algebras.
Vectors (contravariant) are dual to co-vectors (covariant) -- Dual bases.
Riemann curvature is dual, upper indices are dual to lower indices, contravariant is dual to covariant.
Injective is dual to surjective synthesizes bijection or isomorphism.
"Always two there are" --Yoda.
Sine is dual to cosine or dual sine -- the word co means mutual and implies duality.