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Vougiouklis, Thomas N.
On the basic representation of the affine Kac-Moody Lie algebras $D_n^{(1)}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 117-125
MSC: 17B10, 17B65, 17B67, 17B70 | MR 937555 | Zbl 0647.17013
References:
[1] DJOKOVIĆ D.: Classification of Z-graded real semisimple Lie algebras. Journal of Algebra 76 (1982), 367-382. MR 0661861
[2] DUSHAN P.: Deformations of graded nilpotent Lie algebras. Moscow Un. Math. Bulletin, Vol. 36, No 44 (1981), 62-66. Zbl 0484.17008
[3] KAČ V.: Infinite Dimensional Lie algebras. Birkhäuser, Boston, 1983. MR 0739850
[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 0259961
[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 0633784
[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 0114875 | Zbl 0099.25603
[7] LEPOWSKY J., WILSON R.: Construction of the affine Lie algebra $A_1^{(1)}$. Comm. Math. Phys. 62 (1978), 43-53. MR 0573075
[8] MITZMAN D.: Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras. A.M.S. Contemporary Math. Vol. 40 (1985). MR 0786830 | Zbl 0572.17009
[9] MOODY R.: A new class of Lie algebras. Journal of Algebra 10 (1968), 211-230. MR 0229687 | Zbl 0191.03005
[10] VOUGIOUKLIS T.: On affine Kac-Moody Lie algebras. Comment. Math . Univ. Carolinae 26 (1985), 387-395. MR 0803936 | Zbl 0579.17012
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