Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent
Using the theory of covering groups of Schur we prove that the two Nichols algebras associated to the conjugacy class of transpositions in S n are equivalent by twist and hence they have the same Hilbert series. These algebras appear in the classification of pointed Hopf algebras and in the study of...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029939_v140_n11_p3715_Vendramin |
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todo:paper_00029939_v140_n11_p3715_Vendramin2023-10-03T13:55:13Z Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent Vendramin, L. Using the theory of covering groups of Schur we prove that the two Nichols algebras associated to the conjugacy class of transpositions in S n are equivalent by twist and hence they have the same Hilbert series. These algebras appear in the classification of pointed Hopf algebras and in the study of the quantum cohomology ring of flag manifolds. © 2012 American Mathematical Society. Fil:Vendramin, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v140_n11_p3715_Vendramin |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Using the theory of covering groups of Schur we prove that the two Nichols algebras associated to the conjugacy class of transpositions in S n are equivalent by twist and hence they have the same Hilbert series. These algebras appear in the classification of pointed Hopf algebras and in the study of the quantum cohomology ring of flag manifolds. © 2012 American Mathematical Society. |
| format |
JOUR |
| author |
Vendramin, L. |
| spellingShingle |
Vendramin, L. Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent |
| author_facet |
Vendramin, L. |
| author_sort |
Vendramin, L. |
| title |
Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent |
| title_short |
Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent |
| title_full |
Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent |
| title_fullStr |
Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent |
| title_full_unstemmed |
Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent |
| title_sort |
nichols algebras associated to the transpositions of the symmetric group are twist-equivalent |
| url |
http://hdl.handle.net/20.500.12110/paper_00029939_v140_n11_p3715_Vendramin |
| work_keys_str_mv |
AT vendraminl nicholsalgebrasassociatedtothetranspositionsofthesymmetricgrouparetwistequivalent |
| _version_ |
1807321841635688448 |