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C[subscript 2]-cofiniteness of the vertex algebra V[subscript L] [superscript +] and classification of irreducible modules of the vertex operator algebra V[subscript L] [superscript + |
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| รหัสดีโอไอ | |
| Title | C[subscript 2]-cofiniteness of the vertex algebra V[subscript L] [superscript +] and classification of irreducible modules of the vertex operator algebra V[subscript L] [superscript + |
| Creator | Phichet Jitjankarn |
| Contributor | Patanee Udomkavanich, Gaywalee Yamskulna |
| Publisher | Chulalongkorn University |
| Publication Year | 2552 |
| Keyword | Vertex operator algebras |
| Abstract | The first part of this thesis is the study of the representation theory of vertex algebras V[subscript L] [superscript +] when L are nondegenerate even lattices that are not positive de nite. In particular, we show that such vertex algebras and their irreducible weak modules satisfy the so-called C[subscript 2]-co niteness condition. For the second part of this thesis, we study the representation theory of a vertex operator algebra V[subscript L] [superscript + |
| URL Website | cuir.car.chula.ac.th |