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- W2951911333 abstract "Let g be a semisimple complex Lie algebra. Let O be a nilpotent orbit in g. Fix a triangular decomposition g=n+h+n^-. An irreducible component of the intersection of O and n is called an orbital variety associated to O. It is a Lagrangian subvariety of O. In this note we discuss the closure of an orbital variety as a union of varieties. We show that if g contains factors not of type A_n then there are orbital varieties whose closure contains components which are not Lagrangian. We show that the argument does not work if all the factors are of type A_n and provide the facts supporting the conjecture claiming that if all the factors of g are of type A_n then the closure of an orbital variety is a union of orbital varieties." @default.
- W2951911333 created "2019-06-27" @default.
- W2951911333 creator A5057533170 @default.
- W2951911333 date "2004-09-23" @default.
- W2951911333 modified "2023-09-27" @default.
- W2951911333 title "On varieties in an orbital variety closure in semisimple Lie algebra" @default.
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