FINITE-DIMENSIONAL SIMPLE MODULES OVER CERTAIN ITERATED SKEW POLYNOMIAL-RINGS

Authors
JORDAN DA
Citation
Da. Jordan, FINITE-DIMENSIONAL SIMPLE MODULES OVER CERTAIN ITERATED SKEW POLYNOMIAL-RINGS, Journal of pure and applied algebra, 98(1), 1995, pp. 45-55
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
98
Issue
1
Year of publication
1995
Pages
45 - 55
Database
ISI
SICI code
0022-4049(1995)98:1<45:FSMOCI>2.0.ZU;2-Y
Abstract
We classify the finite-dimensional simple R-modules for a class of alg ebras which arise as iterated skew polynomial rings in two variables o ver commutative k-algebras for an algebraically closed field k of arbi trary characteristic. The class includes the enveloping algebra and th e quantized enveloping algebra of the Lie algebra sl(2,k), the quantiz ed Weyl algebra in two variables, various quantum groups, and the enve loping algebra of the dispin Lie superalgebra.