On geometric properties of orbital varieties in type A
On geometric properties of orbital varieties in type A
The intersection between a nilpotent orbit O⊂gln(C) and the Lie algebra Lie(B)⊂gln(C) of a Borel subgroup B⊂GLn(C) is an equidimensional, quasi-affine algebraic variety. Its irreducible components are called orbital varieties. In this Note, we provide criteria to guarantee that an orbital variety is smooth or has a dense orbit for …