| Title:
|
On the basic representation of the affine Kac-Moody Lie algebras $D_n^{(1)}$ (English) |
| Author:
|
Vougiouklis, Thomas N. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
117-125 |
| . |
| Category:
|
math |
| . |
| MSC:
|
17B10 |
| MSC:
|
17B65 |
| MSC:
|
17B67 |
| MSC:
|
17B70 |
| idZBL:
|
Zbl 0647.17013 |
| idMR:
|
MR937555 |
| . |
| Date available:
|
2008-06-05T21:31:55Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106603 |
| . |
| Reference:
|
[1] DJOKOVIĆ D.: Classification of Z-graded real semisimple Lie algebras.Journal of Algebra 76 (1982), 367-382. MR 0661861 |
| Reference:
|
[2] DUSHAN P.: Deformations of graded nilpotent Lie algebras.Moscow Un. Math. Bulletin, Vol. 36, No 44 (1981), 62-66. Zbl 0484.17008 |
| Reference:
|
[3] KAČ V.: Infinite Dimensional Lie algebras.Birkhäuser, Boston, 1983. MR 0739850 |
| Reference:
|
[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 |
| Reference:
|
[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 |
| Reference:
|
[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. Zbl 0099.25603, MR 0114875 |
| Reference:
|
[7] LEPOWSKY J., WILSON R.: Construction of the affine Lie algebra $A_1^{(1)}$.Comm. Math. Phys. 62 (1978), 43-53. MR 0573075 |
| Reference:
|
[8] MITZMAN D.: Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras.A.M.S. Contemporary Math. Vol. 40 (1985). Zbl 0572.17009, MR 0786830 |
| Reference:
|
[9] MOODY R.: A new class of Lie algebras.Journal of Algebra 10 (1968), 211-230. Zbl 0191.03005, MR 0229687 |
| Reference:
|
[10] VOUGIOUKLIS T.: On affine Kac-Moody Lie algebras.Comment. Math . Univ. Carolinae 26 (1985), 387-395. Zbl 0579.17012, MR 0803936 |
| . |
