Hopf algebras of types Uq(sln)′ and Oq(SLn)′ which give rise to certain invariants of knots, links and 3-manifolds

被引：10

作者：

Gelaki, S

Westreich, S

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

[2] Bar Ilan Univ, Interdisciplinary Dept Social Sci, Ramat Gan, Israel

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 08期

关键词：

D O I：

10.1090/S0002-9947-00-02283-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine when Lusztig's U-q(sl(n))' has all the desired properties necessary to define invariants of knots, links and 3-manifolds. Specifically, we determine when it is ribbon, unimodular and factorizable. We also compute the integrals and distinguished elements involved.

引用

页码：3821 / 3836

页数：16

共 15 条

[1]

Drinfeld V.G., 1990, Leningrad Math. J., V2, P321

[2]

DRINFELD VG, 1985, SOV MATH DOKL, V32, P251

[3] On the quasitriangularity of Uq(sln)′ [J].