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

页码：257 / 268

页数：12

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