Título del libro: Handbook Of Geometry And Topology Of Singularities I
Título del capítulo: Finite Dimensional Lie Algebras in Singularities
Autores UNAM:
JOSE LUIS CISNEROS MOLINA;
Autores externos:
Idioma:
Año de publicación:
2020
Resumen:
Entidades citadas de la UNAM:
JOSE LUIS CISNEROS MOLINA;
Autores externos:
Idioma:
Año de publicación:
2020
Resumen:
Complex simple Lie algebras with simply laced root systems are classified by Dynkin diagrams of type An, Dn, E6, E7, and E8. Also the dual graphs of the minimal resolution of Kleinian singularities are precisely the same aforementioned Dynkin diagrams. In this work, we recall the basic definitions and some results of the theory of complex Lie algebras and of Kleinian singularities, in order to present a relation between finite dimensional complex simple Lie algebras and the Kleinian singularities, given by a theorem by Brieskorn. We also present the extension of Brieskorn's theorem to the simple elliptic singularity. © Springer Nature Switzerland AG 2020.
Entidades citadas de la UNAM:
Fuente:
ISBN:
9783030530617
Editorial:
Springer International Publishing Nombre de la publicación:
Finite Dimensional Lie Algebras in Singularities
Página inicial:
541
Página final:
587
ISBN:
9783030530617
Editorial:
Springer International Publishing Nombre de la publicación:
Finite Dimensional Lie Algebras in Singularities
Página inicial:
541
Página final:
587
