Geodesic
Polynomial Lie Subalgebras of the Infinite Matrix Lie Algebra
Canadian journal of mathematics, Tome 48 (1996) no. 2, pp. 274-287

Voir la notice de l'article provenant de la source Cambridge University Press

We construct two classes of Lie subalgebras of the infinite matrix Lie algebra gl∞(C) and prove that they are all simple Lie algebras.
DOI : 10.4153/CJM-1996-014-7
Mots-clés : 17Bxx, 16A68, 16A42 
Chen, Liang. Polynomial Lie Subalgebras of the Infinite Matrix Lie Algebra. Canadian journal of mathematics, Tome 48 (1996) no. 2, pp. 274-287. doi: 10.4153/CJM-1996-014-7
@article{10_4153_CJM_1996_014_7,
     author = {Chen, Liang},
     title = {Polynomial {Lie} {Subalgebras} of the {Infinite} {Matrix} {Lie} {Algebra}},
     journal = {Canadian journal of mathematics},
     pages = {274--287},
     year = {1996},
     volume = {48},
     number = {2},
     doi = {10.4153/CJM-1996-014-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-014-7/}
}
TY  - JOUR
AU  - Chen, Liang
TI  - Polynomial Lie Subalgebras of the Infinite Matrix Lie Algebra
JO  - Canadian journal of mathematics
PY  - 1996
SP  - 274
EP  - 287
VL  - 48
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-014-7/
DO  - 10.4153/CJM-1996-014-7
ID  - 10_4153_CJM_1996_014_7
ER  - 
%0 Journal Article
%A Chen, Liang
%T Polynomial Lie Subalgebras of the Infinite Matrix Lie Algebra
%J Canadian journal of mathematics
%D 1996
%P 274-287
%V 48
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-014-7/
%R 10.4153/CJM-1996-014-7
%F 10_4153_CJM_1996_014_7

[C1] Chen, L., Polynomial Lie Subalgebras of the Virasoro algebra, Coram. Algebra (13) 22(1994), 5249–5298. Google Scholar

[C2] Chen, L., Differential operator Lie algebras on the ring of Laurent polynomials, Commun. Math. Phys. 167 (1995), 431–469. Google Scholar

[K] Kac, V.,Infinite dimensional Lie algebras, 3rd edition, Cambridge Univ. Press, 1990. Google Scholar

[KR] Kac, V. and Raina, A., Highest weight representations of infinite dimensional Lie algebras, World Scientific, 1989. Google Scholar

[MP] Moody, R. and Pianzola, A., Lie algebras with triangular decompositions, John Wiley & Sons, Inc. 1995. Google Scholar

Cité par Sources :