Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/102972 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/102972 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemática Nichols algebra Yetter–Drinfeld module Hopf algebra Racks Finite groups of Lie type |
| Sumario: | We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses. |
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