Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Shibukawa, Youichi"'
Autor:
Ashikaga, Ryosuke, Shibukawa, Youichi
In this paper, by making use of category theory, we construct dynamical reflection maps, solutions to a version of the reflection equation associated with suitable dynamical Yang-Baxter maps, set-theoretic solutions to the braid relation that is equi
Externí odkaz:
http://arxiv.org/abs/2209.10079
Autor:
Otsuto, Yudai, Shibukawa, Youichi
For arbitrary algebras $L$, we construct Hopf algebroids $A_\sigma$ with base rings $L$ by means of $\sigma^{ab}_{cd}\in L$ satisfying suitable properties.
Externí odkaz:
http://arxiv.org/abs/1908.09643
Autor:
Kamiya, Noriaki, Shibukawa, Youichi
An s-set is an algebraic generalization of the regular s-manifold introduced by Kowalski, one of the generalized symmetric spaces in differential geometry. We prove that suitable s-sets give birth to dynamical Yang-Baxter maps, set-theoretic solution
Externí odkaz:
http://arxiv.org/abs/1606.02789
Notions of an (H, X)-bialgebroid and of its dynamical representation are proposed. The dynamical representations of each (H, X)-bialgebroid form a tensor category. Every dynamical Yang-Baxter map R(lambda) satisfying suitable conditions, a generaliza
Externí odkaz:
http://arxiv.org/abs/0912.1156
Autor:
Shibukawa, Youichi
By means of left quasigroups L=(L, .) and ternary systems, we construct dynamical Yang-Baxter maps associated with L, L, and (.) satisfying an invariance condition that the binary operation (.) of the left quasigroup L defines. Conversely, this const
Externí odkaz:
http://arxiv.org/abs/0704.3109
Autor:
Shibukawa, Youichi
As for an elliptic $R$-operator which satisfies the Yang--Baxter equation, the incoming and outgoing intertwining vectors are constructed, and the vertex--IRF correspondence for the elliptic $R$-operator is obtained. The vertex--IRF correspondence im
Externí odkaz:
http://arxiv.org/abs/q-alg/9412015
Autor:
Otsuto, Yudai, Shibukawa, Youichi
Publikováno v:
Toyama mathematical journal. 42:51-72
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::b7fad870593ec96f1866fdeb96f2b28e
http://hdl.handle.net/10110/00021653
http://hdl.handle.net/10110/00021653
Publikováno v:
In Journal of Algebra 2010 323(6):1698-1728
Autor:
Shibukawa, Youichi
Publikováno v:
数理解析研究所講究録. 1714:80-89
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::e42e9f1b1b8d41663dc4f43a48969ed4
http://hdl.handle.net/2433/170281
http://hdl.handle.net/2433/170281