Localization of $\frak{u}$-modules. III. Tensor categories arising from configuration spaces
| dc.creator | Finkelberg, M. | |
| dc.creator | Schechtman, V. | |
| dc.date | 1995-03-22 | |
| dc.date | 1995-06-09 | |
| dc.date.accessioned | 2026-07-07T09:04:50Z | |
| dc.date.available | 2026-07-07T09:04:50Z | |
| dc.description | This article is a sequel to hep-th/9411050, q-alg/9412017. In Chapter 1 we associate with every Cartan matrix of finite type and a non-zero complex number $ζ$ an abelian artinian category $\FS$. We call its objects {\em finite factorizable sheaves}. They are certain infinite collections of perverse sheaves on configuration spaces, subject to a compatibility ("factorization") and finiteness conditions. In Chapter 2 the tensor structure on $\FS$ is defined using functors of nearby cycles. It makes $\FS$ a braided tensor category. In Chapter 3 we define, using vanishing cycles functors, an exact tensor functor $$Φ:\FS\lra\CC$$ to the category $\CC$ connected with the corresponding quantum group. In Chapter 4 we show that $Φ$ is an equivalence. Some proofs are only sketched. | |
| dc.description | 59 pages, amslatex. Minor typos corrected | |
| dc.identifier | https://arxiv.org/abs/q-alg/9503013 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9503013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149526 | |
| dc.subject | Quantum Algebra | |
| dc.title | Localization of $\frak{u}$-modules. III. Tensor categories arising from configuration spaces | |
| dc.type | text |