1Wu Wen-Tsun Key Laboratory of Mathematics, University of Science and Technology, Hefei 230026, P. R. of China 2School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia
Journal of Lie Theory, Tome 23 (2013) no. 1, pp. 159-176
\def\BB{{\cal B}(q)} We classify the unitary quasifinite irreducible highest weight modules over the Block type Lie algebras $\BB$ for all non-zero values of the parameter $q$. The algebra $\BB$ contains the Virasoro algebra as a subalgebra and thus is likely to have applications in conformal field theory.
1
Wu Wen-Tsun Key Laboratory of Mathematics, University of Science and Technology, Hefei 230026, P. R. of China
2
School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia
Chunguang Xia; Ruibin Zhang. Unitary Highest Weight Modules over Block Type Lie Algebras B(q). Journal of Lie Theory, Tome 23 (2013) no. 1, pp. 159-176. http://geodesic.mathdoc.fr/item/JOLT_2013_23_1_a8/
@article{JOLT_2013_23_1_a8,
author = {Chunguang Xia and Ruibin Zhang},
title = {Unitary {Highest} {Weight} {Modules} over {Block} {Type} {Lie} {Algebras} {B(q)}},
journal = {Journal of Lie Theory},
pages = {159--176},
year = {2013},
volume = {23},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_1_a8/}
}
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