{"docId":9512,"paperId":9512,"url":"https:\/\/cm.episciences.org\/9512","doi":"10.2478\/cm-2020-0020","journalName":"Communications in Mathematics","issn":"1804-1388","eissn":"2336-1298","volume":[{"vid":645,"name":"Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-03664998","repositoryVersion":1,"repositoryLink":"https:\/\/hal.science\/hal-03664998v1","dateSubmitted":"2022-05-11 15:41:17","dateAccepted":null,"datePublished":"2020-10-11 00:00:00","titles":{"en":"On tangent cones to Schubert varieties in type E"},"authors":["Ignatyev, Mikhail V.","Shevchenko, Aleksandr A."],"abstracts":{"en":"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."},"keywords":["[MATH]Mathematics [math]"]}