$C_2$-cofiniteness of the vertex algebra $V_L^+$ when $L$ is a non-degenerate even lattice

dc.creatorJitjankarn, Phichet
dc.creatorYamskulna, Gaywalee
dc.date2009-03-13
dc.date.accessioned2026-07-07T12:52:27Z
dc.date.available2026-07-07T12:52:27Z
dc.descriptionIt was shown by Abe, Buhl and Dong that the vertex algebra $V_L^+$ and its irreducible weak modules satisfy the $C_2$-cofiniteness condition when $L$ is a positive definite even lattice. In this paper, we extend their results by showing that the vertex algebra $V_L^+$ and its irreducible weak modules are $C_2$-cofinite when $L$ is a negative definite even lattice and when $L$ is a non-degenerate even lattice that is neither negative definite nor positive definite.
dc.identifierhttps://arxiv.org/abs/0903.2458
dc.identifierhttp://arxiv.org/abs/0903.2458
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223300
dc.subjectQuantum Algebra
dc.title$C_2$-cofiniteness of the vertex algebra $V_L^+$ when $L$ is a non-degenerate even lattice
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