The Kerala University on Saturday barred Nair from supervising examination duties after a varsity panel investigating the matter said the allegations were grave.
The Peroorkada police Monday registered a case against Law Academy Law College Principal Lekshmi Nair for her casteist remarks on students.
The SHRC had also ordered the police to constitute an investigation by a deputy superintendent and file a report within a week.
Narayanan Nair is the elder brother of Koliyakkode Krishnan Nair, a senior leader of the ruling Communist Party of India (Marxist).
The case against the principal of Thiruvananthapuram-based Kerala Law Academy, Lakshmi Nair, also a celebrity television anchor in Malayalam, has been registered on a complaint of harassment by some students for calling them by their caste names.
Six law students had deposed that Lekshmi Nair "played moral police" on the campus and "approved and disapproved of relationships among students on a caste basis". Rest of the students are not even joining them. Those refused to comply with her wishes 'risked scoring low marks in internal assessment, ' they said.
He sought a probe into allotment of excess land to the institution.
The government should recover those stretches of land which is used by the Academy for purposes other than education and properties in it, he said in a letter to State Revenue Minister E Chandrasekharan.
Meanwhile, the Congress has chose to sharpen its attack on the government threatening to join the student strike if she continues in office.
"The government and the police are conscious about the issue". Sakeer, the first accused, is the Malappuram district leader of the SFI, while the others are students of the college. "Otherwise, I will begin an indefinite hunger strike on Thursday", he warned.
BJP National Executive member V Muraleedharan, who launched a 48-hour fast on January 25, has made a decision to continue the agitation until the demands of the students were met. That is the prime reason all quarters and all parties, barring the CPI-M, are demanding the state government take over the institution and the students have demanded her resignation.
The State government on Monday submitted before the Kerala High Court that meetings and demonstrations conducted by various organisation in protest against managements of self-financing colleges were under scanner.