Geodesic
Isomorphisms Between Generalized Cartan Type W Lie Algebras in Characteristic 0
Canadian journal of mathematics, Tome 50 (1998) no. 1, pp. 210-224

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

In this paper, we determine when two simple generalized Cartan type $W$ Lie algebras ${{W}_{d}}(A,\,T,\,\varphi )$ are isomorphic, and discuss the relationship between the Jacobian conjecture and the generalized Cartan type $W$ Lie algebras.
DOI : 10.4153/CJM-1998-011-6
Mots-clés : 17B40, 17B65, 17B56, 17B68, Simple Lie algebras, the general Lie algebra, generalized Cartan type W Lie algebras, isomorphism, Jacobian conjecture 
Zhao, Kaiming. Isomorphisms Between Generalized Cartan Type W Lie Algebras in Characteristic 0. Canadian journal of mathematics, Tome 50 (1998) no. 1, pp. 210-224. doi: 10.4153/CJM-1998-011-6
@article{10_4153_CJM_1998_011_6,
     author = {Zhao, Kaiming},
     title = {Isomorphisms {Between} {Generalized} {Cartan} {Type} {W} {Lie} {Algebras} in {Characteristic} 0},
     journal = {Canadian journal of mathematics},
     pages = {210--224},
     year = {1998},
     volume = {50},
     number = {1},
     doi = {10.4153/CJM-1998-011-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-011-6/}
}
TY  - JOUR
AU  - Zhao, Kaiming
TI  - Isomorphisms Between Generalized Cartan Type W Lie Algebras in Characteristic 0
JO  - Canadian journal of mathematics
PY  - 1998
SP  - 210
EP  - 224
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-011-6/
DO  - 10.4153/CJM-1998-011-6
ID  - 10_4153_CJM_1998_011_6
ER  - 
%0 Journal Article
%A Zhao, Kaiming
%T Isomorphisms Between Generalized Cartan Type W Lie Algebras in Characteristic 0
%J Canadian journal of mathematics
%D 1998
%P 210-224
%V 50
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1998-011-6/
%R 10.4153/CJM-1998-011-6
%F 10_4153_CJM_1998_011_6

[1] 1. ŽĐoković, D. and Zhao, K., Derivations, isomorphisms, and second cohomology of generalized Witt algebras. Trans. Amer. Math. Soc., in press. Google Scholar

[2] 2. Zcaron;Đoković, D., Generalized Cartan type W Lie algebras in characteristic O. J. Algebra 195 (1997), 170–210. Google Scholar

[3] 3. Bass, H., Connell, E.H. and Wright, D., The Jacobian Conjecture: reduction of degree and formal expansion of the inverse. Bull. Amer. Math. Soc. (2) 7 (1982), 287–330. Google Scholar

[4] 4. Kaplansky, I., Seminar on simple Lie algebras. Bull. Amer. Math. Soc. 60 (1954), 470–471. Google Scholar

[5] 5. Kawamoto, N., Generalizations of Witt algebras over a field of characteristic zero. Hiroshima Math. J. 16 (1986), 417–426. Google Scholar

[6] 6. Kraft, H., Algebraic automorphisms of affine space. In:TopologicalMethods in Algebraic Transformation Groups, 81–105. Birkhäuser, Boston, 1989. Google Scholar

[7] 7. Osborn, J.M., New simple infinite dimensional Lie algebras of characteristic O. J. Algebra 185 (1996), 820–835. Google Scholar

[8] 8. Osborn, J.M., Derivations and isomorphisms of Lie algebras of characteristic O. Stud. Advanced Math. 4 (1997), 95–108. Google Scholar

[9] 9. Osborn, J.M., Automorphisms of the Lie algebras W* in characteristic O. Canad. J. Math. (1) 49 (1997), 119–132. Google Scholar

[10] 10. Rudakov, A.N., Group of automorphisms of infinite-dimensional simple Lie algebras. Math. USSR-Izv. (4) 3 (1965), 707–722. Google Scholar

[11] 11. Singer, I.M. and Sternberg, S., The infinite groups of Lie and Cartan, I: The transitive groups. J.Analyse Math. 15 (1965), 1–114. Google Scholar

Cité par Sources :