Geodesic
Unitary Harish-Chandra Modules over Block Type Lie Algebras B(q)
Journal of Lie theory, Tome 23 (2013) no. 3, pp. 827-836

Voir la notice de l'article provenant de la source Heldermann Verlag

For any nonzero complex number q, there is a Lie algebra of Block type, denoted by q. In this paper, we classify the unitary Harish-Chandra modules for these algebras. We first give a description of conjugate-linear anti-involutions on q. Then we obtain the sufficient and necessary conditions for irreducible uniformly bounded unitary Harish-Chandra modules and irreducible unitary highest (lowest) weight Harish-Chandra modules.
Classification : 17B10, 17B20, 17B65, 17B66, 17B68
Mots-clés : Block type algebra, Virasoro algebra, Harish-Chandra module, intermediate series module 
@article{JLT_2013_23_3_JLT_2013_23_3_a12,
     author = {H. Chen and X. Guo },
     title = {Unitary {Harish-Chandra} {Modules} over {Block} {Type} {Lie} {Algebras} {B(q)}},
     journal = {Journal of Lie theory},
     pages = {827--836},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_3_JLT_2013_23_3_a12/}
}
TY  - JOUR
AU  - H. Chen
AU  - X. Guo 
TI  - Unitary Harish-Chandra Modules over Block Type Lie Algebras B(q)
JO  - Journal of Lie theory
PY  - 2013
SP  - 827
EP  - 836
VL  - 23
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2013_23_3_JLT_2013_23_3_a12/
ID  - JLT_2013_23_3_JLT_2013_23_3_a12
ER  - 
%0 Journal Article
%A H. Chen
%A X. Guo 
%T Unitary Harish-Chandra Modules over Block Type Lie Algebras B(q)
%J Journal of Lie theory
%D 2013
%P 827-836
%V 23
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2013_23_3_JLT_2013_23_3_a12/
%F JLT_2013_23_3_JLT_2013_23_3_a12
H. Chen; X. Guo . Unitary Harish-Chandra Modules over Block Type Lie Algebras B(q). Journal of Lie theory, Tome 23 (2013) no. 3, pp. 827-836. http://geodesic.mathdoc.fr/item/JLT_2013_23_3_JLT_2013_23_3_a12/