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| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.provenance | CONICET | - |
| dc.creator | Stefan, Dragos | - |
| dc.creator | Vay, Cristian Damian | - |
| dc.date | 2018-09-05T15:35:16Z | - |
| dc.date | 2018-09-05T15:35:16Z | - |
| dc.date | 2016-03 | - |
| dc.date | 2018-09-04T21:37:49Z | - |
| dc.date.accessioned | 2019-04-29T15:41:39Z | - |
| dc.date.available | 2019-04-29T15:41:39Z | - |
| dc.date.issued | 2016-03 | - |
| dc.identifier | Stefan, Dragos; Vay, Cristian Damian; The cohomology ring of the 12-dimensional Fomin-Kirillov algebra; Academic Press Inc Elsevier Science; Advances in Mathematics; 291; 3-2016; 584-620 | - |
| dc.identifier | 0001-8708 | - |
| dc.identifier | http://hdl.handle.net/11336/58370 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/299707 | - |
| dc.description | The 12-dimensional Fomin-Kirillov algebra FK3 is defined as the quadratic algebra with generators a, b and c which satisfy the relations a2=b2=c2=0 and ab+bc+ca=0=ba+cb+ac. By a result of A. Milinski and H.-J. Schneider, this algebra is isomorphic to the Nichols algebra associated to the Yetter-Drinfeld module V, over the symmetric group S3, corresponding to the conjugacy class of all transpositions and the sign representation. Exploiting this identification, we compute the cohomology ring ExtFK3*(k,k), showing that it is a polynomial ring S[X] with coefficients in the symmetric braided algebra of V. As an application we also compute the cohomology rings of the bosonization FK3#kS3 and of its dual, which are 72-dimensional ordinary Hopf algebras. | - |
| dc.description | Fil: Stefan, Dragos. University Of Bucharest; Rumania | - |
| dc.description | 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.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Academic Press Inc Elsevier Science | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0001870816000190 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.aim.2016.01.001 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1404.5101 | - |
| 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/11336/58370 | - |
| dc.subject | FOMIN-KIRILLOV ALGEBRAS | - |
| dc.subject | NICHOLS BIALGEBRAS | - |
| dc.subject | YONEDA RING | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | The cohomology ring of the 12-dimensional Fomin-Kirillov algebra | - |
| 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 | |
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