Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
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Ordinary module
Definition
An ordinary module for a conformal vertex algebra of CFT type is a grading-restricted generalized module in the sense of Grading-restricted generalized module on which acts semisimply. Equivalently, is a direct sum of its ordinary eigenspaces , each eigenspace is finite dimensional, and the real parts of the occurring weights are bounded below. Ordinary-module status is a condition on the module action; it does not assert that the category of such modules is semisimple.
Depends on
Used by
Dependency tree · two levels
3 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.
Sources
- Yi-Zhi Huang, James Lepowsky, and Lin Zhang, Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I, §2 (standard reference, not scraped)
- Chongying Dong and Cuipo Jiang, Rationality of Vertex Operator Algebras, §2 (standard reference, not scraped)