Registro completo de metadatos
| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.provenance | CONICET | - |
| dc.creator | Andruskiewitsch, Nicolas | - |
| dc.creator | Angiono, Iván Ezequiel | - |
| dc.creator | Garcia Iglesias, Agustin | - |
| dc.date | 2018-09-04T22:34:56Z | - |
| dc.date | 2018-09-04T22:34:56Z | - |
| dc.date | 2017-05 | - |
| dc.date | 2018-08-15T13:57:36Z | - |
| dc.date.accessioned | 2019-04-29T15:38:54Z | - |
| dc.date.available | 2019-04-29T15:38:54Z | - |
| dc.date.issued | 2017-05 | - |
| dc.identifier | Andruskiewitsch, Nicolas; Angiono, Iván Ezequiel; Garcia Iglesias, Agustin; Liftings of Nichols algebras of diagonal type I. cartan type A; Oxford University Press; International Mathematics Research Notices; 2017; 9; 5-2017; 2793-2884 | - |
| dc.identifier | 1073-7928 | - |
| dc.identifier | http://hdl.handle.net/11336/58327 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/298483 | - |
| dc.description | After the classification of the finite-dimensional Nichols algebras of diagonal type[17,18], the determination of its defining relations[7,6], and the verification of the generation in degree-s1 conjecture[6], there is still one step missing in the classification of complex finite-dimensional Hopf algebras with abelian group, without restrictions on the order of the latter: The computation of all deformations or liftings. A technique towards solving this question was developed in[5], built on cocycle deformations. In this paper, we elaborate further and present an explicit algorithm to compute liftings. In our main result we classify all liftings of finite-dimensional Nichols algebras of Cartan type A, over a cosemisimple Hopf algebra H. This extends[2], where it was assumed that the parameter is a root of unity of order >3 and that H is a commmutative group algebra. When the parameter is a root of unity of order 2 or 3, new phenomena appear: The quantum Serre relations can be deformed; this allows in turn the power root vectors to be deformed to elements in lower terms of the coradical filtration, but not necessarily in the group algebra. These phenomena are already present in the calculation of the liftings in type A2 at a parameter of order 2 or 3 over an abelian group[11,19], done by a different method using a computer program. As a byproduct of our calculations, we present new infinite families of finite-dimensional pointed Hopf algebras. | - |
| dc.description | Fil: Andruskiewitsch, Nicolas. 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.description | 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.description | Fil: Garcia Iglesias, Agustin. 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.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Oxford University Press | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2017/9/2793/3061030?redirectedFrom=fulltext | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnw103 | - |
| dc.rights | info:eu-repo/semantics/openAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.source.uri | http://hdl.handle.net/11336/58327 | - |
| dc.subject | Hopf algebras | - |
| dc.subject | Nichols algebras | - |
| dc.subject | deformations | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Liftings of Nichols algebras of diagonal type I. cartan type A | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
Ficheros en este ítem:
No hay ficheros asociados a este ítem.