Twisted Internal coHom Objects in the Category of Quantum Spaces
| dc.creator | Grillo, S. | |
| dc.creator | Montani, H. | |
| dc.date | 2001-12-20 | |
| dc.date | 2003-06-27 | |
| dc.date.accessioned | 2026-07-07T04:45:25Z | |
| dc.date.available | 2026-07-07T04:45:25Z | |
| dc.description | Adapting the idea of twisted tensor products to the category of finitely generated algebras, we define on its opposite, the category QLS of quantum linear spaces, a family of objects hom(B,A)^{op}, one for each pair A^{op},B^{op} there, with analogous properties to its internal Hom ones, but representing spaces of transformations whose coordinate rings hom(B,A) and the ones of their respective domains B^{op} do not commute among themselves. The mentioned non commutativity is controlled by a collection of twisting maps τ_{A,B}. We show that the (bi)algebras end(A)=hom(A,A), under certain circumstances, are 2-cocycle twistings of the quantum semigroups end(A) in the untwisted case. This fact generalizes the twist equivalence (at a semigroup level) between, for instance, the quantum groups GL_{q}(n) and their multiparametric versions GL_{q,ϕ}(n). | |
| dc.description | 23 pages; Added references and minor changes (including more accurate terminology) | |
| dc.identifier | https://arxiv.org/abs/math/0112233 | |
| dc.identifier | http://arxiv.org/abs/math/0112233 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62949 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 46L52, 58B32 | |
| dc.title | Twisted Internal coHom Objects in the Category of Quantum Spaces | |
| dc.type | text |