Geometry of non-commutative orbits related to Hecke symmetries
| dc.creator | Gurevich, D. | |
| dc.creator | Saponov, P. | |
| dc.date | 2004-11-25 | |
| dc.date.accessioned | 2026-07-07T05:14:42Z | |
| dc.date.available | 2026-07-07T05:14:42Z | |
| dc.description | To some braiding R of Hecke type (a Hecke symmetry) we put into correspondence an associative algebra called the modified Reflection Equation Algebra (mREA). We construct a series of matrices L_(m), m=1,2,... with entries belonging to mREA such that each of them satisfies a version of the Cayley-Hamilton identity with central coefficients. We also consider some quotients of the mREA which are called the non-commutative orbits. For each of these orbits we construct a large family of projective modules. In this family we introduce an algebraic structure which is close to that of $K^0(\Fl(\C^n))$. The algebraic structure respects an equivalence relation motivated by a "quantum" trace compatible with the initial Hecke symmetry R. For a subclass of non-commutative orbits we compute the spectrum of central elements of the mREA Tr_R(L_(m)^k), k\in {\Bbb N}. | |
| dc.identifier | https://arxiv.org/abs/math/0411579 | |
| dc.identifier | http://arxiv.org/abs/math/0411579 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73377 | |
| dc.subject | Quantum Algebra | |
| dc.title | Geometry of non-commutative orbits related to Hecke symmetries | |
| dc.type | text |