Journal of Lie Theory

no. 1
Unitary Highest Weight Modules over Block Type Lie Algebras B(q)
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.721
Classification: 17B10, 17B65, 17B68, 81R10
Keywords: Block type Lie algebras, quasifinite highest weight modules, unitarity 
@article{JOLT_2013_23_1_a8,
     author = {C. Xia and R. 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},
     doi = {10.5802/jolt.721},
     zbl = {1308.17012},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.721/}
}
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C. Xia; R. Zhang. Unitary Highest Weight Modules over Block Type Lie Algebras B(q). Journal of Lie Theory, Volume 23 (2013) no. 1, pp. 159-176. doi: 10.5802/jolt.721

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