Artículo
On the restricted Jordan plane in odd characteristic
Fecha de publicación:
01/2021
Editorial:
World Scientific
Revista:
Journal of Algebra and its Applications
ISSN:
0219-4988
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In positive characteristic the Jordan plane covers a finite-dimensional Nichols algebra that was described by Cibils et al. and we call the restricted Jordan plane. In this paper, the characteristic is odd. The defining relations of the Drinfeld double of the restricted Jordan plane are presented and its simple modules are determined. A Hopf algebra that deserves the name of double of the Jordan plane is introduced and various quantum Frobenius maps are described. The finite-dimensional pre-Nichols algebras intermediate between the Jordan plane and its restricted version are classified. The defining relations of the graded dual of the Jordan plane are given.
Palabras clave:
DRINFELD DOUBLE
,
HOPF ALGEBRAS
,
JORDAN PLANE
,
NICHOLS ALGEBRAS
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Identificadores
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Andruskiewitsch, Nicolas; Peña Pollastri, Héctor Martín; On the restricted Jordan plane in odd characteristic; World Scientific; Journal of Algebra and its Applications; 20; 1; 1-2021; 1-26
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