hrcak mascot   Srce   HID

Izvorni znanstveni članak
https://doi.org/10.3336/gm.43.1.05

Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A

Ozren Perše ; Department of Mathematics, University of Zagreb

Puni tekst: engleski, pdf (183 KB) str. 41-57 preuzimanja: 682* citiraj
APA 6th Edition
Perše, O. (2008). Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A. Glasnik matematički, 43 (1), 41-57. https://doi.org/10.3336/gm.43.1.05
MLA 8th Edition
Perše, Ozren. "Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A." Glasnik matematički, vol. 43, br. 1, 2008, str. 41-57. https://doi.org/10.3336/gm.43.1.05. Citirano 26.09.2021.
Chicago 17th Edition
Perše, Ozren. "Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A." Glasnik matematički 43, br. 1 (2008): 41-57. https://doi.org/10.3336/gm.43.1.05
Harvard
Perše, O. (2008). 'Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A', Glasnik matematički, 43(1), str. 41-57. https://doi.org/10.3336/gm.43.1.05
Vancouver
Perše O. Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A. Glasnik matematički [Internet]. 2008 [pristupljeno 26.09.2021.];43(1):41-57. https://doi.org/10.3336/gm.43.1.05
IEEE
O. Perše, "Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A", Glasnik matematički, vol.43, br. 1, str. 41-57, 2008. [Online]. https://doi.org/10.3336/gm.43.1.05

Sažetak
Let L(-(l+1)/2,0) be the simple vertex operator algebra associated to an affine Lie algebra of type Al(1) with the lowest admissible half-integer level -(l+1)/2, for even l. We study the category of weak modules for that vertex operator algebra which are in category O as modules for the associated affine Lie algebra. We classify irreducible objects in that category and prove semisimplicity of that category.

Ključne riječi
Vertex operator algebra; affine Kac-Moody algebra; modular invariant representation

Hrčak ID: 23532

URI
https://hrcak.srce.hr/23532

Posjeta: 941 *