Diagonal direct limits of simple Lie algebras

Communications in Algebra

Volumn 27, Issue 6, 1999, Pages 2749-2766

  Baranov, A A ^a   Zhilinskii, A G ^a  

^a INSTITUTE OF MATHEMATICS   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033247241     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879908826590     Document Type: Article

References (16)

1. Y. Bahturin and H. Strade, Locally finite-dimensional simple Lie algebras. Russian Acad. Sci. Sb. Math. 81 (1995), No 1, 137-161.
2. Y. Bahturin and H. Strade, Some examples of locally finite simple Lie algebras, Arch. Math. 65 (1995), 23-26.
3. A. A. Baranov, Diagonal locally finite Lie algebras and a version of Ado's theorem, J. Algebra 199 (1998), 1-39.
4. A. A. Baranov, Simple diagonal locally finite Lie algebras, Proc. London Math. Soc. (to appear).
5. N. Bourbaki, Groupes et algèbres de Lie, Chap. IV-VI. Paris, Hermann, 1968.
6. O. Bratteli, Inductive limits of finite dimensional C*-algebras, Trans. Amer. Math. Soc. 171 (1972), 195-234.
7. J. Dixmier, On some C*-algebras considered by Glimm. J. Functional Analysis 1(1967), 182-203.
8. F. Dynkin, Maximal subgroups of the classical groups, Amer. Math. Soc. Transl. 6 (2) (1957), 245-378.
9. G. Elliott, On classification of inductive limits of sequences of semisimple finite dimensional algebras, J. Algebra 38 (1976), 29-44.
10. D. Farkas and R. Snider, Locally finite-dimensional algebras, Proc. Amer. Math. Soc. 81 (1981), 369-372.
11. A. I. Malcev, On semisimple subgroups of Lie groups, Izv. AN SSSR, Ser. mat., 8 (1944), 143-174.
12. I. A. Yanson and D.V. Zhdanovich, The set of the direct limits of Lie algebras of the type A, Comm. Alg. 24(3)(1996), 1125-1156.
13. A. E. Zalesskii, Group rings of inductive limits of alternating groups. Algebra and Analysis 2 (1990), 132-149. English translation: Leningrad Math. J. 2 (1991), 1287-1303.
14. A. E. Zalesskii, Group rings of inductive limits of alternating groups. Algebra and Analysis 2 (1990), 132-149. English translation: Leningrad Math. J. 2 (1991), 1287-1303.
15. A. E. Zalesskii, Direct limits of finite dimensional algebras and finite groups, Canadian Math. Soc. Conf. Proc. 22 (1997), 221-239.
16. A. G. Zhilinskii, Coherent finite-type systems of inductive families of non diagonal inclusions, Doklady Akad. Nauk Belarusi 36 (1992), No 1, 9-13. (Russian).