Prince's Sister Tyka Storms Out of Family Meeting ... Money Fight Looms

It didn't take long ... Prince's sister Tyka went ballistic in the first meeting with the singer's siblings and marched out of the room ... and we're told it's already becoming a money squabble.

Sources with first-hand knowledge tell TMZ, the meeting was held Thursday in Minnesota. Tyka, Prince's younger sister, was present, along with brothers Alfred and Omarr.

We're told the meeting was tense, and 2 hours in Alfred expressed his displeasure that he was the only sibling excluded from Prince's memorial service, which Tyka planned. We're told an argument erupted and she stormed out of the room.

We're also told the brothers have a clear impression from the meeting ... Tyka thinks she's entitled to more than them when it comes time to divide Prince's assets. As we reported, under Minnesota law all 6 siblings -- irrespective of whether they're half or full -- share equally, but apparently Tyka doesn't see it that way.

Our sources say after Tyka left, a rep from the bank that was appointed as the administrator took Alfred on a tour of Prince's home and the area where he died "so he could properly grieve."