Mukherjee said he had to 'reluctantly' sever his association on being elected the President of India but now he could renew that relation afresh.
"My personal association with this organisation goes back to early '80s not as a great scholar or indologist but being associated with an important development in the landmark institution in 1984," Mukherjee said.
He was delivering the first lecture in the memory of renowned indologist Raja Rajendralala Mitra.
Mukherjee, who had held important portfolios in the union cabinet for many years, said the government had never interfered in the functioning of the institute.
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"When in 2012 I filed my nomination for the post of President of India, I had to cut off my association with Asiatic society. Since the President of the republic cannot be associated with any other organisation of the country, I had to reluctantly dissociate myself," he said.
Rajendralala, who had died in 1891, was the first modern indologist and the first Indian President of the Asiatic Society in 1885.
"He did a remarkable job in recording history," the former President said.
Mukherjee was given a stole, a set of publications of the Asiatic Society and Dr Raja Rajendralala Mitra Memorial Lecture plaque by institute's president Prof Isha Mahammad.