Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 2 standard modules for $D_4^{(1)}$
| dc.creator | Baranović, Ivana | |
| dc.date | 2009-03-04 | |
| dc.date.accessioned | 2026-07-07T12:49:02Z | |
| dc.date.available | 2026-07-07T12:49:02Z | |
| dc.description | Let $\gtl$ be an affine Lie algebra of type $D_{\ell}^{(1)}$ and $L(Λ)$ its standard module with a highest weight vector $v_Λ$. For a given $\Z$-gradation $\gtl = \gtl_{-1} + \gtl_0 + \gtl_1$, we define Feigin-Stoyanovsky's type subspace as $$W(Λ) = U(\gtl_1) \cdot v_Λ.$$ By using vertex operator relations for standard modules we reduce the Ponicaré-Brikhoff-Witt spanning set of $W(Λ)$ to a basis and prove its linear independence by using Dong-Lepowsky intertwining operators. | |
| dc.identifier | https://arxiv.org/abs/0903.0739 | |
| dc.identifier | http://arxiv.org/abs/0903.0739 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222265 | |
| dc.subject | Quantum Algebra | |
| dc.title | Combinatorial bases of Feigin-Stoyanovsky's type subspaces of level 2 standard modules for $D_4^{(1)}$ | |
| dc.type | text |