Abstract
A characterization of vertex operator algebra V+ℤα with (α,α)/2 not being a perfect square is given in terms of dimensions of homogeneous subspaces of small weights. This result contributes to the classification of rational vertex operator algebras of central charge 1.
Funding source: NSF
Funding source: China NSF
Award Identifier / Grant number: 10931006, 11371245
Funding source: Innovation Program of Shanghai Municipal Education Commission
Award Identifier / Grant number: 11ZZ18
Received: 2012-5-31
Published Online: 2013-12-11
Published in Print: 2015-12-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The limit of the Yang–Mills flow on semi-stable bundles
- Tangent cones to positive-(1,1) De Rham currents
- A characterization of vertex operator algebras V+ℤα: I
- Degenerate neckpinches in Ricci flow
- On the local Bump–Friedberg L-function
- A variational characterization of J-holomorphic curves
- Mahler measure and elliptic curve L-functions at s = 3
- Uniform bounds for bounded geodesic image theorems
- Linear stability of Perelman's ν-entropy on symmetric spaces of compact type
Articles in the same Issue
- Frontmatter
- The limit of the Yang–Mills flow on semi-stable bundles
- Tangent cones to positive-(1,1) De Rham currents
- A characterization of vertex operator algebras V+ℤα: I
- Degenerate neckpinches in Ricci flow
- On the local Bump–Friedberg L-function
- A variational characterization of J-holomorphic curves
- Mahler measure and elliptic curve L-functions at s = 3
- Uniform bounds for bounded geodesic image theorems
- Linear stability of Perelman's ν-entropy on symmetric spaces of compact type