Rep ties are representative of in England, private schools and army regiments. The army related ones are normally in the regiments colours for example the Coldstream Guards tie is blue red blue, with the stripe pointing away from the heart. It is considered poor form to wear unit ties if one has no connection to the regiment, school or university.
I used to wonder why Yankee Rep ties ran towards the heart, according to something I read once it was simply to distinguish them from the British and avoid the issue over colours and their association.
And if you could please take Jimmy Hoffa for a drive and deposit him in an unmarked grave that would be very good.