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dc.contributor.author
Angiono, Iván Ezequiel
dc.date.available
2018-09-04T22:36:26Z
dc.date.issued
2016-03
dc.identifier.citation
Angiono, Iván Ezequiel; Distinguished Pre-Nichols algebras; Springer; Transformation Groups; 21; 1; 3-2016; 1-33
dc.identifier.issn
1083-4362
dc.identifier.uri
http://hdl.handle.net/11336/58333
dc.description.abstract
We formally define and study the distinguished pre-Nichols algebra (Formula presented.) (V) of a braided vector space of diagonal type V with finite-dimensional Nichols algebra B(V). The algebra (Formula presented.) (V) is presented by fewer relations than B(V), so it is intermediate between the tensor algebra T(V) and B(V). Prominent examples of distinguished pre-Nichols algebras are the positive parts of quantized enveloping (super)algebras and their multiparametric versions. We prove that these algebras give rise to new examples of Noetherian pointed Hopf algebras of finite Gelfand-Kirillov dimension. We investigate the kernel (in the sense of Hopf algebras) of the projection from (Formula presented.) (V) to B(V), generalizing results of De Concini and Procesi on quantum groups at roots of unity.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hopf Algebras
dc.subject
Nichols Algebras
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Distinguished Pre-Nichols algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-04T21:37:26Z
dc.journal.volume
21
dc.journal.number
1
dc.journal.pagination
1-33
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Angiono, Iván Ezequiel. 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
Transformation Groups
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00031-015-9341-x
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1405.6681
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s00031-015-9341-x
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