Letters of Administration are granted by a Surrogate Court or probate registry to appoint appropriate people to deal with a deceased person's estate where property will pass under Intestacy Rules or where there are no executors living (and willing and able to act) having been validly appointed under the deceased's will.
This appears to be inheritance of property by class II legal heirs.
Hindu Succession Act, 1956. ... The Hindu Succession Act, 1956 is an Act of the Parliament of India enacted to amend and codify the law relating to intestate or unwilled succession, among Hindus, Buddhists, Jains, and Sikhs. The Act lays down a uniform and comprehensive system of inheritance and succession into one Act.
Sections 8 to 13 of the Hindu Succession Act, 1956 lay down the general rules as to the order of succession when a Hindu male dies intestate.
Section 11. Distribution of property among heirs in Class II of the Schedule.- The property of an intestate shall be divided between the heirs specified in any one entry in Class II of the Schedule so that they share equally.
This Section provides that when there are more than one heirs in one entry of Class II, they shall inherit equally. For example, Entry III contains four heirs:
(a) the daughter’s son’s son
(b) the daughter’s son’s daughter
(c) the daughter’s daughter’s son
(d) the daughter’s daughter’s daughter.
Thus according to this Section, they all share equally. It should be noted that the legislation does not lay down any rule of discrimination between any male or female. If two heirs are enlisted in the same entry, then irrespective of their sex, they share equally. All the heirs in each one of the entries stand aequali jura and take per capita subject to the only exception that full blood is preferred over half-blood.