The Greeks are a set of MarketRisk measures, using Greek (or Greek-like) letters to measure sensitivities of a trade or portfolio to the set of factors that affect the value of the trade or portfolio
Detail
For more detail see the individual glossary entries for:
If you remember your Greek from school you'll already have spotted that Vega is not a Greek letter at all, just a word beginning with "V" that sounds faintly like a Greek letter