Hopf braces and Yang-Baxter operators
This paper introduces Hopf braces, a new algebraic structure related to the Yang–Baxter equation, which include Rump’s braces and their non-commutative generalizations as particular cases. Several results of classical braces are still valid in our context. Furthermore, Hopf braces provide the right...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029939_v145_n5_p1981_Angiono |
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todo:paper_00029939_v145_n5_p1981_Angiono2023-10-03T13:55:18Z Hopf braces and Yang-Baxter operators Angiono, I. Galindo, C. Vendramin, L. This paper introduces Hopf braces, a new algebraic structure related to the Yang–Baxter equation, which include Rump’s braces and their non-commutative generalizations as particular cases. Several results of classical braces are still valid in our context. Furthermore, Hopf braces provide the right setting for considering left symmetric algebras as Lie-theoretical analogs of braces. © 2016 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_v145_n5_p1981_Angiono |
| institution |
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 |
This paper introduces Hopf braces, a new algebraic structure related to the Yang–Baxter equation, which include Rump’s braces and their non-commutative generalizations as particular cases. Several results of classical braces are still valid in our context. Furthermore, Hopf braces provide the right setting for considering left symmetric algebras as Lie-theoretical analogs of braces. © 2016 American Mathematical Society. |
| format |
JOUR |
| author |
Angiono, I. Galindo, C. Vendramin, L. |
| spellingShingle |
Angiono, I. Galindo, C. Vendramin, L. Hopf braces and Yang-Baxter operators |
| author_facet |
Angiono, I. Galindo, C. Vendramin, L. |
| author_sort |
Angiono, I. |
| title |
Hopf braces and Yang-Baxter operators |
| title_short |
Hopf braces and Yang-Baxter operators |
| title_full |
Hopf braces and Yang-Baxter operators |
| title_fullStr |
Hopf braces and Yang-Baxter operators |
| title_full_unstemmed |
Hopf braces and Yang-Baxter operators |
| title_sort |
hopf braces and yang-baxter operators |
| url |
http://hdl.handle.net/20.500.12110/paper_00029939_v145_n5_p1981_Angiono |
| work_keys_str_mv |
AT angionoi hopfbracesandyangbaxteroperators AT galindoc hopfbracesandyangbaxteroperators AT vendraminl hopfbracesandyangbaxteroperators |
| _version_ |
1807320826370850816 |