Modular forms and almost linear dependence of graded dimensions
| dc.creator | Milas, Antun | |
| dc.date | 2006-09-11 | |
| dc.date.accessioned | 2026-07-07T07:24:44Z | |
| dc.date.available | 2026-07-07T07:24:44Z | |
| dc.description | For every positive integral level $k$ we study arithmetic properties of certain holomorphic modular forms associated to modular invariant spaces spanned by graded dimensions of $L_{\hat{sl_2}}(k Λ_0)$-modules. We found a necessary and sufficient condition for their vanishing and showed that these modular forms resemble classical Eisenstein series $E_{2k+2}(τ)$. Furthermore, we derived similar results for $\mathcal{M}(p,p')$ Virasoro minimal models, thus generalizing some results of Mortenson, Ono and the author. | |
| dc.description | Presented at the conference "Lie Algebras, Vertex Operator Algebras and Their Applications" NCSU, May 2005 | |
| dc.identifier | https://arxiv.org/abs/math/0609308 | |
| dc.identifier | http://arxiv.org/abs/math/0609308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116473 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Number Theory | |
| dc.title | Modular forms and almost linear dependence of graded dimensions | |
| dc.type | text |