Twisting of quantum spaces and twisted coHom objects
| dc.creator | Grillo, Sergio D. | |
| dc.date | 2002-02-20 | |
| dc.date | 2003-06-27 | |
| dc.date.accessioned | 2026-07-07T04:46:35Z | |
| dc.date.available | 2026-07-07T04:46:35Z | |
| dc.description | Twisting process for quantum linear spaces is defined. It consists in a particular kind of globally defined deformations on finitely generated algebras. Given a quantum space (A_1,A), a multiplicative cosimplicial quasicomplex C[A_1] in the category Grp is associated to A_1, in such a way that for every n a subclass of linear automorphisms of A^{\otimes n} is obtained from the groups C^n[A_1]. Among the elements of this subclass, the counital 2-cocycles are those which define the twist transformations. In these terms, the twisted internal coHom objects, constructed in a previous paper (cf. math.QA/0112233), can be described as twisting of the proper coHom objects, enabling us in turn to generalize the mentioned construction. The quasicomplexes C[V], V a vector space, are studied in detail, showing for instance that, when V is a coalgebra, the quasicomplexes related to Drinfeld twisting, corresponding to bialgebras generated by V, are subobjects of C[V]. | |
| dc.description | 35 pages; added references and minor changes (including more accurate terminology) | |
| dc.identifier | https://arxiv.org/abs/math/0202205 | |
| dc.identifier | http://arxiv.org/abs/math/0202205 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63389 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | 46L65;46L52 | |
| dc.title | Twisting of quantum spaces and twisted coHom objects | |
| dc.type | text |