Indirect object pronouns have really nothing in common with possessive pronouns. The former stand in for any kind of indirect object, whereas the latter denote to whom something belongs.
Indirect object pronouns:
1st person sing.: je --> me
2nd person sing.: tu --> te
3rd person sing.: il/elle --> lui
1st person plural: nous --> nous
2nd person plural: vous --> vous
3rd person plural: ils/elles --> leur
Examples:
Je parle à Adam. --> Je lui parle.
Je parle à Marie. --> Je lui parle.
Je parle à Adam et Marie. --> Je leur parle.
Posessive pronouns (masculine noun/feminine noun/plural noun):
1st person sing.: mon/ma/mes
2nd person sing.: ton/ta/tes
3rd person sing.: son/sa/ses
1st person plural: nous --> notre/notre/nos
2nd person plural: vous --> votre/votre/vos
3rd person plural: ils/elles --> leur/leur/leurs
Examples:
Ce sont mes livres. (1st person singular and plural noun)
C'est mon livre. (1^st person singular and masculine noun)
C'est votre livre. (2nd person plural and masculine noun)
Ce sont vos livres. (2nd person plural and plural noun)
Ce sont leurs livres. (3rd person plural and plural noun)
Elle est ma copine. (3rd person singular and feminine noun)