Quantum subgroups of GLα,β(n)

被引：7

作者：

Andres Garcia, Gaston ^{[1
,2
]}

机构：

[1] Univ Nacl Cordoba, Fac Ciencias Exactas Fis & Nat, CIEM CONICET, RA-5000 Cordoba, Argentina

[2] Univ Nacl Cordoba, Fac Matemat Astron & Fis, CIEM CONICET, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF ALGEBRA | 2010年 / 324卷 / 06期

关键词：

Quantum groups; Quantized enveloping algebras; Quantized coordinate algebras; FROBENIUS-LUSZTIG KERNELS; HOPF-ALGEBRAS; ENVELOPING-ALGEBRAS; DRINFELD DOUBLES; SYMMETRIES; TOPICS; FINITE; ROOTS; DEFORMATIONS; EXTENSIONS;

D O I：

10.1016/j.jalgebra.2010.07.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let alpha,beta is an element of C {0} and l is an element of N be odd with l >= 3. We determine all Hopf algebra quotients of the quantized coordinate algebra O-alpha,O-beta(GL(n)) when alpha(-1)beta is a primitive l-th root of unity and alpha, beta satisfy certain mild conditions, and we characterize all finite-dimensional quotients when a(-1)beta is not a root of unity. As a byproduct we find a new family of non-semisimple and non-pointed Hopf algebras with non-pointed duals which are quotients of O-alpha,O-beta(GL(n)) (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1392 / 1428

页数：37

共 55 条

[1] Notes on extensions of Hopf algebras [J].