Determinants, integrality and Noether's theorem for quantum commutative algebras

被引：11

作者：

Cohen, M ^{[1
]}

Westreich, S ^{[1
]}

Zhu, SL ^{[1
]}

机构：

[1] BAR ILAN UNIV,INTERDISCIPLINARY DEPT SOCIAL SCI,IL-52900 RAMAT GAN,ISRAEL

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1996年 / 96卷

关键词：

D O I：

10.1007/BF02785538

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to generalize Noether's theorem for finite groups acting on commutative algebras, to finite-dimensional triangular Hopf algebras acting on quantum commutative algebras. In the process we construct a non-commutative determinant function which yields an analogue of the Cayley-Hamilton theorem for certain endomorphisms.

引用

页码：185 / 222

页数：38

共 28 条

[1] ACTIONS OF COMMUTATIVE HOPF-ALGEBRAS [J].