q-index on braided non-commutative spheres

被引：5
|
作者：
Gurevich, D
Leclercq, R
Saponov, P
机构：
[1] Univ Valenciennes, ISTV, Dept Math, F-59304 Valenciennes, France
[2] Inst High Energy Phys, Theory Dept, Protvino 142281, Russia
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2005年 / 53卷 / 04期
关键词：
braided (quantum) sphere; projective module; Cayley-Hamilton identity; non-commutative index; braided Casimir element;
D O I：
10.1016/j.geomphys.2004.07.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
To some Yang-Baxter braidings of Hecke type we assign algebras called braided non-commutative spheres. For any such algebra, we introduce and compute a q-analog of the standard pairing Ind : K-0(A) x K-0(A) -> Z called a non-commutative index. Unlike the standard non-commutative index, our q-analog is based on the so-called categorical trace specific for a braided category in which the algebra in question is represented. (c) 2004 Published by Elsevier B.V.
引用
收藏
页码：392 / 420
页数：29
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