IRREDUCIBLE REPRESENTATIONS FOR THE AFFINE-VIRASORO LIE ALGEBRA OF TYPE $B_{l}$

Citation:

JIANG Cuipo,YOU Hong.IRREDUCIBLE REPRESENTATIONS FOR THE AFFINE-VIRASORO LIE ALGEBRA OF TYPE $B_{l}$[J].Chinese Annals of Mathematics B,2004,25(3):359~368
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Authors:

JIANG Cuipo; YOU Hong

Foundation:

Project supported by the National Natural Science Foundation of China (No.10271076, No.10171023).
Abstract: An explicit construction of irreducible representations for the affine-Virasoro Lie algebra of type $B_{l}$, through the use of vertex operators and certain oscillator representations of the Virasoro algebra, is given.

Keywords:

Affine-Virasoro Lie algebra, Vertex operator, Irreducible module

Classification:

17B65, 17B67
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