Flag varieties for the Yangian Y(gl_n)
| dc.creator | Lauve, Aaron | |
| dc.date | 2006-01-04 | |
| dc.date.accessioned | 2026-07-07T06:58:30Z | |
| dc.date.available | 2026-07-07T06:58:30Z | |
| dc.description | We show that the Yangian Yn over gl_n possesses some features of the ring of regular functions on GL_n. In particular, we use the theory of quasideterminants to construct noncommutative flags associated to Yn. In so doing, a class of comodule algebras Fl(γ) for Yn (viewed as C[GL_n]) is revealed. As in the classic case, these flag algebras are related to the irreducible representations of Yn (viewed as U(gl_n)). In the course of defining the rings Fl(γ), connections to the new parabolic presentations of Yn given by Brundan and Kleshchev (2005) are uncovered. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601056 | |
| dc.identifier | http://arxiv.org/abs/math/0601056 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107382 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37; 81R50 | |
| dc.title | Flag varieties for the Yangian Y(gl_n) | |
| dc.type | text |