Mikhail V. Ignatyev ; Aleksandr A. Shevchenko
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On tangent cones to Schubert varieties in type E
cm:9512 -
Communications in Mathematics,
October 11, 2020,
Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)
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https://doi.org/10.2478/cm-2020-0020
On tangent cones to Schubert varieties in type E
Authors: Mikhail V. Ignatyev 1; Aleksandr A. Shevchenko 1
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Mikhail V. Ignatyev;Aleksandr A. Shevchenko
1 Samara National Research University
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.