X-inner automorphisms of semi-commutative quantum algebras
| dc.creator | Bergen, Jeffrey | |
| dc.creator | Wilson, Mark C. | |
| dc.date | 1998-04-22 | |
| dc.date.accessioned | 2026-07-07T05:24:28Z | |
| dc.date.available | 2026-07-07T05:24:28Z | |
| dc.description | Many important quantum algebras such as quantum symplectic space, quantum Euclidean space, quantum matrices, $q$-analogs of the Heisenberg algebra and the quantum Weyl algebra are semi-commutative. In addition, enveloping algebras $U(L_+)$ of even Lie color algebras are also semi-commutative. In this paper, we generalize work of Montgomery and examine the $X$-inner automorphisms of such algebras. The theorems and examples in our paper show that for algebras $R$ of this type, the non-identity $X$-inner automorphisms of $R$ tend to have infinite order. Thus if $G$ is a finite group of automorphisms of $R$, then the action of $G$ will be $X$-outer and this immediately gives useful information about crossed products $R*_tG$. | |
| dc.description | 20 pages, in AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/math/9804109 | |
| dc.identifier | http://arxiv.org/abs/math/9804109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76856 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37, 16W20, 16S36, 16S30 | |
| dc.title | X-inner automorphisms of semi-commutative quantum algebras | |
| dc.type | text |