Cuntz algebras and dynamical quantum group SU(2)

被引：0
|
作者：
Paolucci, A [1 ]
机构：
[1] Univ Genoa, Dipartimento Sci Informaz, Genoa, Italy
来源：
HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY AND PHYSICS | 2005年 / 239卷
关键词：
Cuntz algebras; coaction; dynamical Yang-Baxter equation; dynamical quantum group; Hopf-algebroid;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [6, 7] G. Felder introduces a new area in the theory of quantum groups, the so-called theory of dynamical quantum groups. This theory assigns dynamical analogues to various objects related to ordinary Lie algebras and quantum groups, i.e. Hopf algebras, R-matrices, twists, etc. In this paper we study coactions of the dynamical quantum group SU(2) on the N + 1-dimensional representation for the trigonometric dynamical R-matrix. A comodule algebra arising from these coactions turns out to be a dynamical analogue of the Cuntz algebra.
引用
收藏
页码：257 / 268
页数：12
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