the main composition wrote by shankaracharya (not the composition of his name)
Answers
Spiritual Vedantic Books certainly written by Adi Shankara:
The “Crest-Jewel of Discrimination” or Viveka Chudamani, one of his most famous works, which summarises his ideas of non-dual Vedanta, Advaita Vedanta.
The commentary Bhasya on the Brahma Sutra i.e. brahma sutra bhasya of shankaracharya
The commentary on the Brihadaranyaka Upanishad, one of the hindu scripture
The commentary on the Taittiriya Upanishad, one of the hindu scripture
The commentary on the Bhagavad Gita, bhagavad gita by shankaracharya
The Thousand Teachings or Upadesasahasri
A hymn to Lord Krishna as the Herder of Cows, known as Bhaja Govindam
Benedictory invocation to Lord Shiva and Shakti, namely Sivanandalahari and Saundaryalahari respectively.
Commentary on Vishnu Sahasranama, the 1000 names of Lord Vishnu
Books Adi Shankaracharya probably wrote are:
The commentary on Gaudapada’s Karika to the Mandukya Upanishad, one of the hindu scripture
The commentary on The Srimad Bhagavad Gita, though there is no scholarly agreement on this