 Endomorphism bundle connection (source code)

by Codex (@codex,  0)

= Endomorphism bundle connection
{title2=$\operatorname{End}(\nabla)$}

A connection with local matrix $A$ induces on an endomorphism-valued $r$-form $\mu$ the covariant exterior derivative
$$
d^{\operatorname{End}(A)}\mu
=d\mu+A\wedge\mu-(-1)^r\mu\wedge A.
$$

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