The first thing is the 2nd triumvirate was originally formed by Octavian, Lepidus and Marc Antony to avenge the assassination of Julius Caesar and to sort the affairs of the Roman empire out.
It saw the use of proscriptions (they drew up a list of all the people that had to be killed because they were connected with Caesars assassination, many prominent senators and Romans, including Cicero, Brutus and Cassius fell victim to the proscriptions of the triumvirate), which can be seen as an attempt by Octavian or Antony to rid themselves of as much support for the restoration of the republic as possible, making their rise to prominence easier. The formation of the triumvirate effectively put an end to the Roman equivalent of the republican party and paved the way for the creation of the principate
After the defeat of Brutus and Cassius at Phillipi the triumvirate resulted in the Roman empire being divided into three sections, Octavian took the west, Antony the east, and lepidus was given the leftover, Africa.
Pamela Bradley even thinks that the triumvirate was the reason that Julius Caesar was deified, attributing his immediate deification to fear.
Um , i know more i just cant get it out at the moment, too tired, lol, if you need more ill be happy to help, as for sources id look at Suetonius "Twelve Caesars" (chapters of Caesar and Octavian-
http://www.fordham.edu/halsall/ancient/suetonius-index.htmlat (online copy)
Cassius Dios Roman history (same sections as suetonius)
http://www.ukans.edu/history/index/europe/ancient_rome/E/Roman/Texts/Cassius_Dio/home.html (online copy)
And the best secondary sources would be H.H Scullard "From the Greacchi to Nero", Pamela Bradley "Ancient Rome-Using Evidence" and A.J Koutsoukis "Rome",
sorry i couldnt be more help, need sleep