'ALI
The Muslim community was united while Muhammad was the leader of this community. Most Muslims hold, however, that he never specifically chose a successor to his leadership. There was a minority in the community that supported the candidacy of 'Ali, the Prophet's son-in-law, this political faction became known as the "Supporters of 'Ali" which in Arabic is Shiat 'Ali (where the modern term "Shiite" comes from). They derived their support from specific hadiths and events that they claimed showed that God had revealed to Muhammad that 'Ali would succeed him. The majority of Muslims held that these hadiths and events showed nothing more than that 'Ali was very pious, something they did not deny. Therefore they gave power to the man who was Muhammad's second-in-command and father-in-law Abu Bakr. This majority were called the People of the Customs [of the Prophet] which in Arabic is Ahl Sunna (from where the modern term "Sunni" comes from.)
The death of Muhammad split the Muslims over their belief about who should take over as their leader. The Sunnis believed that the person should be elected and the Shiites believed that the person should be a descendant of Muhammad.
sunni
This group is called the Shi'a. Its members were known as Shiites.
The major difference is historical. The Shiites did not agree on the elected Caliphs (who followed Prophet Muhammad after his death). They believed that the Caliphs should only be within Prophet Muhammad descendants and family. Accordingly, they were supporting Ali Ibn about Taleb (Prophet cousin and the husband of his daughter Fatima) to be the first Caliph. However, they didn't protest against the elected Caliphs (Abou Bakr, Omar, and Ottman) and even Ali, himself, was good supporter and adviser to the three Caliphs until he was elected as the fourth Caliph. However, Both Sunnis and Shiites believe that no God except one and only one God, the Creator with no partner, no father, no son, no companion, no associate, and no resemblance and that prophet Muhammad is His messenger and prophet. They both believe in God Angels, all God prophets, all God holy book, the Day of Judgment, and destiny. They believe in the five Pillars of Islam. They both face the direction of Kaaba when praying. They pray in any mosque regardless the praying leader is Sunni or Shiite. They may differ in some minor details of rituals but these details are not critical to neither the Shiites nor the Sunnis.
Not necessarily be a descendant of prophet Muhammad (PBUH). He should be the one elected and accepted by the majority. By this approach, Abou Bakr and his successors ruled Muslims.
They are called Shiites. refer to related question for more information.
The Shiites group. Refer to question below for morte information.
may be shiv
Sure, there must be peace between between Sunnis and Shiites if they are not already in peace. There is no reason for not being in peace.The Sunnis and Shiites two main Islam groups or schools are both Muslims. No one has the right to expel anyone out of Islam and to consider him/her unbeliever (or Kafir) so far:he/she witness that no god Except one God (Allah) with no partner and that Muhammad is his messenger and prophet, and thathe/she doesn't deny intentionally any of the Islam five pillars.Both Sunnis and Shiites that no God except one and only one God, the Creator with no partner, no father, no son, no companion, and no resemblance and that prophet is His messenger and prophet. They both believe in God Angels, all God prophets, all God holy book, the Day of Judgment, and destiny. They believe in the five Pillars of Islam. They both face the direction of Kaaba when praying. They pray in any mosque regardless the praying leader is Sunni or Shiite. They may differ in some minor details of rituals but these details are not critical to neither the Shiites nor the Sunnis.The major difference is only historical. The Shiites did not agree on the elected Caliphs (who followed Prophet Muhammad after his death). They believed that the Caliphs should only be within Prophet Muhammad descendants and family. Accordingly, they were supporting Ali Ibn about Taleb (Prophet cousin and the husband of his daughter Fatima) to be the first Caliph. However, they didn't protest against the elected Caliphs (Abou Bakr, Omar, and Ottman) and even Ali, himself, was good supporter and adviser to the three Caliphs until he was elected as the fourth Caliph.
Sunni's believe their leader should be Prophet Muhammad (S.A.W) and their lord Allah.
There is no real division between Sunni Muslims and Shi'a Muslims. The division is very exaggrated after the war in Iraq by the US supported by other countries.Both Sunnis and Shiites are Muslims.No one has the right to expel anyone out of Islam and to consider him/her unbeliever (or Kafir) so far:he/she witness that no god Except one God (Allah) with no partner and that Muhammad is his messenger and prophet, and thathe/she doesn't deny intentionally any of the Islam five pillars.As for Sunnis and Shiites, they, both, believe that No God except one and only one God, the Creator with no partner, no father, no son, no companion, and no resemblance and that prophet is His messenger and prophet. They both believe in God Angels, all God prophets, all God holy book, the Day of Judgment, and destiny. They believe in the five Pillars of Islam. They both face the direction of Kaaba when praying. They pray in any mosque regardless the praying leader is Sunni or Shiite. They may differ in some minor details of rituals but these details are not critical to neither the Shiites nor the Sunnis.The major difference is historical. The Shiites did not agree on the elected Caliphs (who followed Prophet Muhammad after his death). They believed that the Caliphs should only be within Prophet Muhammad descendants and family. Accordingly, they were supporting Ali Ibn about Taleb (Prophet cousin and the husband of his daughter Fatima) to be the first Caliph. However, they didn't protest against the elected Caliphs (Abou Bakr, Omar, and Ottman) and even Ali, himself, was good supporter and adviser to the three Caliphs until he was elected as the fourth Caliph.Sunnis constitute over 85 % of all world Muslims. Shiites are majority mainly in Iran and Iraq and some parts of Pakistan.
Muhammad was not the founder of any branches of Islam. In fact, he was not even the founder of Islam, rather the messenger. As well as this, Muhammad and Islam discourage branches within Islam so it clashes with the question.