Affiliation:
1. Samara National Research University , Ak. Pavlova 1 , , Samara , Russia
Abstract
Abstract
We consider tangent cones to Schubert subvarieties of the flag variety G/B, where B is a Borel subgroup of a reductive complex algebraic group G of type E
6, E
7 or E
8. We prove that if w
1 and w
2 form a good pair of involutions in the Weyl group W of G then the tangent cones Cw
1 and Cw
2 to the corresponding Schubert subvarieties of G/B do not coincide as subschemes of the tangent space to G/B at the neutral point.