My aunt abroad wishes to name me as one of the inheritors of monies from her estate. What are Indiana State tax implications. What form would I have to fill. Thank you

If Indiana taxes inheritances, you will report this as inheritance but only when you inherit it; not now.

Indiana does indeed have an inheritance tax. You are allowed a $500 exemption (based on your relationship to the deceased you fall into "Class B" ). The remainder is taxed between 7% and 15%, depending on the value of the inheritance. Instructions are here:
http://www.in.gov/dor/files/ih-6inst.pdf

Thank you ebains and Mukata, appreciate your quick response, and have a good, wonderful day, this will really help.

I don't really know much about inheritance taxes, but the Indiana form linked to states:

When To Use This Form
Use this form only if decedent was a resident of the State of Indiana
At the time of death. For a non-resident decedent, contact the Department of Revenue, Inheritance Tax, Indiana Government Center
North, 100 North Senate Ave. Room N248 or call (317) 232-2156
For the correct return for a non-resident decedent. The mailing address
Is P.O. Box 71, Indianapolis, Indiana, 46206-0071.

Here decedent (the aunt) would not be a resident of Indiana. I suspect that no inheritance taxes may be due.