Capitalizing the first word of an independent clause after a colon is optional.
MLA style and CMS style use a lowercase letter to begin an independent clause following a colon; APA style uses a capital letter. Check with your instructor or with the style guide of your discipline, and be consistent throughout your paper.
Use lowercase after a colon to introduce a list or an appositive.
Exercise: Capitalization
Related topic:
Using a colon to introduce a list
independent clause A word group containing a subject and a verb that can or does stand alone as a sentence.
appositive A noun or noun phrase that renames a nearby noun or pronoun: Bailey, the representative from Alabama, voted for the bill.