Representations of copointed Hopf algebras arising from the tetrahedron rack

Pogorelsky, Barbara; Vay, Cristian Damian

Artículo

Representations of copointed Hopf algebras arising from the tetrahedron rack

Pogorelsky, Barbara; Vay, Cristian Damian Icon

Fecha de publicación: 12/2013

Editorial: Springer

Revista: ANNALI DELL'UNIVERSITA' DI FERRARA

ISSN: 0430-3202

Idioma: Inglés

Tipo de recurso: Artículo publicado

Clasificación temática:

Matemática Pura

Resumen

We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack Aff(F4,w), also known as tetrahedron rack, and the 2-cocycle −1. We investigate the so-called Verma modules and classify all the simple modules. We conclude that these algebras are of wild representation type and not quasitriangular, also we analyze when these are spherical.

Palabras clave: Copointed Hopf Algebras , Representations of Hopf Algebras , Liftings of Nichols Algebras

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Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)

Identificadores

URI: http://hdl.handle.net/11336/10982

URL: http://link.springer.com/article/10.1007/s11565-013-0197-5

URL: http://dx.doi.org/10.1007/s11565-013-0197-5

Colecciones

Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)

Citación

Pogorelsky, Barbara; Vay, Cristian Damian; Representations of copointed Hopf algebras arising from the tetrahedron rack; Springer; ANNALI DELL'UNIVERSITA' DI FERRARA; 60; 2; 12-2013; 407-427