Add to ORKGThese are the extended notes of a mini-course given at the school WinterBraids X. We discuss algebras simultaneously related to: the braid group, the Yang-Baxter equation and the representation theory of quantum groups. The main goal is to explain the idea of the fusion procedure for the Yang-Baxter equation and to show how it leads to new examples of such algebras: the fused Hecke algebras
The main result of this thesis is the presentation of a new solution of the Yang-Baxter equation. Th...
International audienceIn the continuity of our previous paper (Crampe et al. in Commun Math Phys 349...
International audienceIn the continuity of our previous paper (Crampe et al. in Commun Math Phys 349...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function int...
The fusion procedure provides a way to construct new solutions to the Yang-Baxter equation. In the c...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
56 pages, Latex. A few typos correctedInternational audienceIn this article we review the basic conc...
56 pages, Latex. A few typos correctedInternational audienceIn this article we review the basic conc...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
A new type of algebras that represent a generalization of both quantum groups and braided groups is ...
The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Bax...
The quantum double construction is applied to the group algebra of a finite group. Such algebras are...
The main result of this thesis is the presentation of a new solution of the Yang-Baxter equation. Th...
International audienceIn the continuity of our previous paper (Crampe et al. in Commun Math Phys 349...
International audienceIn the continuity of our previous paper (Crampe et al. in Commun Math Phys 349...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function int...
The fusion procedure provides a way to construct new solutions to the Yang-Baxter equation. In the c...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
56 pages, Latex. A few typos correctedInternational audienceIn this article we review the basic conc...
56 pages, Latex. A few typos correctedInternational audienceIn this article we review the basic conc...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
A new type of algebras that represent a generalization of both quantum groups and braided groups is ...
The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Bax...
The quantum double construction is applied to the group algebra of a finite group. Such algebras are...
The main result of this thesis is the presentation of a new solution of the Yang-Baxter equation. Th...
International audienceIn the continuity of our previous paper (Crampe et al. in Commun Math Phys 349...
International audienceIn the continuity of our previous paper (Crampe et al. in Commun Math Phys 349...