Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras
| dc.creator | Doty, Stephen | |
| dc.date | 2007-11-17 | |
| dc.date | 2008-08-28 | |
| dc.date.accessioned | 2026-07-07T09:58:57Z | |
| dc.date.available | 2026-07-07T09:58:57Z | |
| dc.description | It is known that a generalized $q$-Schur algebra may be constructed as a quotient of a quantized enveloping algebra $\UU$ or its modified form $\dot{\UU}$. On the other hand, we show here that both $\UU$ and $\dot{\UU}$ may be constructed within an inverse limit of a certain inverse system of generalized $q$-Schur algebras. Working within the inverse limit $\hat{\UU}$ clarifies the relation between $\dot{\UU}$ and $\UU$. This inverse limit is a $q$-analogue of the linear dual $R[G]^*$ of the coordinate algebra of a corresponding linear algebraic group $G$. | |
| dc.description | 18 pages; to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/0711.2764 | |
| dc.identifier | http://arxiv.org/abs/0711.2764 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167868 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras | |
| dc.type | text |