Unitary Highest Weight Modules over Block Type Lie Algebras B(q)
Journal of Lie theory, Tome 23 (2013) no. 1, pp. 159-176
Voir la notice de l'article provenant de la source Heldermann Verlag
\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.
Classification :
17B10, 17B65, 17B68, 81R10
Mots-clés : Block type Lie algebras, quasifinite highest weight modules, unitarity
Mots-clés : Block type Lie algebras, quasifinite highest weight modules, unitarity
@article{JLT_2013_23_1_JLT_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},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {2013},
url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a8/}
}
C. Xia; R. 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/JLT_2013_23_1_JLT_2013_23_1_a8/