I am trying to understand the derivation of the Dirac adjoint. I understand the derivation of the following identities involving Spinors, the Gamma matrices and Lorentz transformations:(adsbygoogle = window.adsbygoogle || []).push({});

(S^{μν})^{†}= γ^{0}S^{μν}γ^{0}

s[Λ] = exp(Ω_{μν}S^{μν}/2)

s[Λ]^{†}= exp(Ω_{μν}(S^{μν}/2)^{†})

The part I'm having trouble with is showing that the last line is also equal to:

γ^{0}S[Λ]^{-1}γ^{0}

Its probably simple but I'm having a mental block with it. Appreciate any help to get me going again.

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# A Spinor transformations

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