Representations of copointed Hopf algebras arising from the tetrahedron rack

Representations of copointed Hopf algebras arising from the tetrahedron rack

We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack Aff ( F 4 , ω ) , 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 representatio...

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2014-11, Vol.60 (2), p.407-427
Hauptverfasser: Pogorelsky, Barbara, Vay, Cristian
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Analysis
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
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Zusammenfassung:We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack Aff ( F 4 , ω ) , 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.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-013-0197-5