FRT construction for dynamical Yang-Baxter maps

被引：4

作者：

Shibukawa, Youichi ^{[1
]}

Takeuchi, Mitsuhiro ^{[2
]}

机构：

[1] Hokkaido Univ, Fac Sci, Dept Math, Sapporo, Hokkaido 0600810, Japan

[2] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 305, Japan

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 06期

关键词：

Bialgebroids; Dynamical representations; Dynamical Yang-Baxter maps; FRT construction; L-operators; Tensor categories; DELTA-FUNCTION INTERACTION; QUANTUM GROUPOIDS; BODY PROBLEM; EQUATION; ALGEBRAS;

D O I：

10.1016/j.jalgebra.2009.12.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Notions of an (H. X)-bialgebioid and of its dynamical representation are proposed. The dynamical representations of each (H. X)bralgebroid form a tensor category. Every dynamical Yang-Baxter map R(lambda) satisfying suitable conditions. a generalization of the set-theoretical solution to the quantum Yang-Baxter equation, gives birth to air (H. X)-bialgebroid A(R). The categories of L-operators for R(lambda) and of dynamical representations of AR are isomorphic as tensor categories, (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1698 / 1728

页数：31

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