@article{CMUC_1988_29_1_a11,
author = {Vougiouklis, Thomas N.},
title = {On the basic representation of the affine {Kac-Moody} {Lie} algebras $D_n^{(1)}$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {117--125},
year = {1988},
volume = {29},
number = {1},
mrnumber = {937555},
zbl = {0647.17013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1988_29_1_a11/}
}
TY - JOUR
AU - Vougiouklis, Thomas N.
TI - On the basic representation of the affine Kac-Moody Lie algebras $D_n^{(1)}$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
SP - 117
EP - 125
VL - 29
IS - 1
UR - http://geodesic.mathdoc.fr/item/CMUC_1988_29_1_a11/
LA - en
ID - CMUC_1988_29_1_a11
ER -
Vougiouklis, Thomas N. On the basic representation of the affine Kac-Moody Lie algebras $D_n^{(1)}$. Commentationes Mathematicae Universitatis Carolinae, Tome 29 (1988) no. 1, pp. 117-125. http://geodesic.mathdoc.fr/item/CMUC_1988_29_1_a11/
[1] DJOKOVIĆ D.: Classification of Z-graded real semisimple Lie algebras. Journal of Algebra 76 (1982), 367-382. | MR
[2] DUSHAN P.: Deformations of graded nilpotent Lie algebras. Moscow Un. Math. Bulletin, Vol. 36, No 44 (1981), 62-66. | Zbl
[3] KAČ V.: Infinite Dimensional Lie algebras. Birkhäuser, Boston, 1983. | MR
[4] KAČ V.: Simple irreducible graded Lie algebras of finite growth. Izv. Akad. Nauk SSSR Ser. Mat. Tom 32 (1968), No 6, 1271-1311. | MR
[5] KAČ V., KAZHDAN O., LEPOWSKY J., WILSON R.: Realization of the basic representations of the Euclidean Lie algebras. Advances in Math. 42 (1981), 83-112. | MR
[6] KOSTANT B.: The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group. American Journal of Math. 81 (1959), 973-1032. | MR | Zbl
[7] LEPOWSKY J., WILSON R.: Construction of the affine Lie algebra $A_1^{(1)}$. Comm. Math. Phys. 62 (1978), 43-53. | MR
[8] MITZMAN D.: Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras. A.M.S. Contemporary Math. Vol. 40 (1985). | MR | Zbl
[9] MOODY R.: A new class of Lie algebras. Journal of Algebra 10 (1968), 211-230. | MR | Zbl
[10] VOUGIOUKLIS T.: On affine Kac-Moody Lie algebras. Comment. Math . Univ. Carolinae 26 (1985), 387-395. | MR | Zbl