Spinor Representations: Intuitive Understanding

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gentsagree
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Can you give me an intuitive understanding of the following:

"The spin states of massive and massless Majorana spinors transform in representations of SO(D-1) and SO(D-2), respectively".

I see the similarity with vectors bosons, where massive vectors have d-1 degrees of freedom and massless have d-2, but what exactly is meant by "the spin states of (...) Majorana spinors transform"?
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?