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Portal znanstvenih časopisa Republike Hrvatske
Glasnik matematički, Vol.43 No.1 Svibanj 2008.
Izvorni znanstveni članak
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: pdf (183 KB),
Engleski,
Str. 41 - 57
,
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.
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