DETERMINANTS, INTEGRALITY AND NOETHERS THEOREM FOR QUANTUM COMMUTATIVE ALGEBRAS

Authors
COHEN M WESTREICH S ZHU SL
Citation
M. Cohen et al., DETERMINANTS, INTEGRALITY AND NOETHERS THEOREM FOR QUANTUM COMMUTATIVE ALGEBRAS, Israel Journal of Mathematics, 96, 1996, pp. 185-222
Citations number
28
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
96
Year of publication
1996
Part
A
Pages
185 - 222
Database
ISI
SICI code
0021-2172(1996)96:<185:DIANTF>2.0.ZU;2-E
Abstract
The aim of this paper is to generalize Noether's theorem for finite gr oups acting on commutative algebras, to finite-dimensional triangular Hopf algebras acting on quantum commutative algebras. In the process w e construct a non-commutative determinant function which yields an ana logue of the Cayley-Hamilton theorem for certain endomorphisms.