The PBW filtration
| dc.creator | Feigin, E. | |
| dc.date | 2007-02-26 | |
| dc.date.accessioned | 2026-07-07T07:48:51Z | |
| dc.date.available | 2026-07-07T07:48:51Z | |
| dc.description | In this paper we study the PBW filtration on irreducible integrable highest weight representations of affine Kac-Moody algebra $\gh$. The $n$-th space of this filtration is spanned with the vectors $x_1... x_s v$, where $x_i\in\gh$, $s\le n$ and $v$ is a highest weight vector. For the vacuum module we give a conjectural description of the corresponding adjoint graded space in terms of generators and relations. For $\g$ of the type $A_1$ we prove our conjecture and derive the fermionic formula for the graded character. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702797 | |
| dc.identifier | http://arxiv.org/abs/math/0702797 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124645 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.title | The PBW filtration | |
| dc.type | text |