Finite-dimensional pointed Hopf algebras over finite 3 simple groups of Lie type V. Mixed classes in Chevalley 4 and Steinberg groups
We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from PSLn(q) collapse (i.e. are never the support of a finite-dimensional Nichols algebra). As a consequence, we prove that the only finite-dimensional pointed Hopf algebra who...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/140840 |
| Acesso em linha: | http://hdl.handle.net/11336/140840 |
| Access Level: | acceso abierto |
| Palavra-chave: | NICHOLS ALGEBRA HOPF ALGEBRA RACK FINITE GROUP OF LIE TYPE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from PSLn(q) collapse (i.e. are never the support of a finite-dimensional Nichols algebra). As a consequence, we prove that the only finite-dimensional pointed Hopf algebra whose group of group-like elements is PSp2n(q) , PΩ4n+(q), PΩ4n-(q), 3D4(q) , E7(q) , E8(q) , F4(q) , or G2(q) with q even is the group algebra. |
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