Some topological properties of quotients modulo semisimple algebraic groups
نویسنده
چکیده
We will prove a general result in Invariant Theory, viz. for a quotientC==G, whereG is a connected complex semisimple algebraic group, the local first homology group at any point in the quotient C==G is trivial and the local second homology group is finite. Using this we will prove that the completion of the local ring of any point in C==G is a unique factorization domain (UFD). Mathematics Subject Classification (2000). 13A50, 14L24, 14L30.
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