Mostrar el registro sencillo del ítem
dc.contributor.author
Pogorelsky, Barbara
dc.contributor.author
Vay, Cristian Damian
dc.date.available
2018-09-05T20:27:41Z
dc.date.issued
2016-10
dc.identifier.citation
Pogorelsky, Barbara; Vay, Cristian Damian; Verma and simple modules for quantum groups at non-abelian groups; Academic Press Inc Elsevier Science; Advances in Mathematics; 301; 10-2016; 423-457
dc.identifier.issn
0001-8708
dc.identifier.uri
http://hdl.handle.net/11336/58449
dc.description.abstract
The Drinfeld double D of the bosonization of a finite-dimensional Nichols algebra B(V) over a finite non-abelian group G is called a quantum group at a non-abelian group. We introduce Verma modules over such a quantum group D and prove that a Verma module has simple head and simple socle. This provides two bijective correspondences between the set of simple modules over D and the set of simple modules over the Drinfeld double D(G). As an example, we describe the lattice of submodules of the Verma modules over the quantum group at the symmetric group S3 attached to the 12-dimensional Fomin–Kirillov algebra, computing all the simple modules and calculating their dimensions.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Fomin-Kirillov Algebras
dc.subject
Hopf Algebras
dc.subject
Nichols Algebras
dc.subject
Quantum Groups
dc.subject
Representation Theory
dc.subject
Verma Modules
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Verma and simple modules for quantum groups at non-abelian groups
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-05T16:09:26Z
dc.journal.volume
301
dc.journal.pagination
423-457
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Pogorelsky, Barbara. Universidade Federal do Rio Grande do Sul; Brasil
dc.description.fil
Fil: Vay, Cristian Damian. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Advances in Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0001870816308039
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.aim.2016.06.019
Archivos asociados