Aleksandr Shevchenko
@ssau.ru
room of algebra and geometry
Samara University
Scopus Publications
Scopus Publications
Mikhail V. Ignatyev and Aleksandr A. Shevchenko
Elsevier BV
Mikhail V. Ignatyev and Aleksandr A. Shevchenko
Centre pour la Communication Scientifique Directe (CCSD)
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.
Mikhail A. Bochkarev, Mikhail V. Ignatyev, and Aleksandr A. Shevchenko
Elsevier BV
M. V. Ignat′ev and A. A. Shevchenko
American Mathematical Society (AMS)